Publications (Books/Proceedings)
- Carvalho, A.N., Langa, J. A. and Robinson, J. C.,
"Attractors for infinite-dimensional
non-autonomous dynamical systems "
- Applied
Mathematical Sciences 182 - ISBN 978-1-4614-4580-7 -
Springer-Verlag 2012.
- Carvalho, A.N., Langa, J. A. and Robinson, J. C.,
"Attractors for infinite-dimensional
non-autonomous dynamical systems: Second eddition "
- Applied
Mathematical Sciences - To appear,
Springer-Verlag.
- Carvalho, A.N.;
Langa, J. A. and
Robinson, J. C. (Editors),
" Asymptotic Dynamics of Non-autonomous Systems"
- Discrete and Continuous Dynamical Systems - Series B , Special issue on the asymptotic dynamics of non-autonomous systems, 20 (3) - ISSN 1531-3492, Preface DOI: 10.3934/dcdsb.2015.20.3i,
AIMS - May 2015.
- Carvalho, A.N.;
Ruf, B.;
dos Santos, E. M.;
Gossez, J-P.;
Soares, S. H. M.
and Cazenave, T. (Editors),
" Contributions to Nonlinear Elliptic Equations
and Systems: A Tribute to Djairo Guedes de Figueiredo on the Occasion
of his 80th Birthday" - Progress in Nonlinear Differential Equations and their Applications, ISBN 978-3-319-19901-6, Birkhäuser/Springer, New York 2015.
-
Bortolan, M. C. ,
Carvalho, A.N. and
Langa, J. A.
"Robustness of attractors under autonomous and non-autonomous perturbations", Mathematical Surveys and Monographs-AMS - To appear.
Publications (Journals)
[01] 
Carvalho, A.N. and
Hale, J.K.,
"Large Diffusion with Dispersion". Nonlinear
Analysis-Theory Methods and Applications, 17 (12) 1139-1151
(1991). (A2)
[02]
Arrieta J.M., Carvalho, A.N. and Hale, J.K.
"A Damped Hyperbolic Equation with Critical
Exponent". Communications
in Partial Differential Equations, 17 (5-6) 841-866
(1992). (A1)
[03] Carvalho,
A.N. "Spatial Homogeneity in
Damped Hyperbolic Equations".
Dynamic Systems
and Applications, 1 (3) 221-250 (1992). (NC)
[04] Carvalho, A.N. and Oliveira, L.A.F. "Delay-Partial Differential Equations with Some Large
Diffusion". Nonlinear
Analysis-Theory Methods and Applications, 22 (9) 1057-1095
(1994). (A2)
[05] Carvalho, A.N. and Pereira, A.L. "A scalar parabolic equation whose asymptotic behavior
is dictated by a system of ODE". Journal
of Differential Equations, 112 (1) 81-130 (1994). (A1)
[06] Carvalho,
A.N. "Contracting Sets and
Dissipation". Proceedings of
the Royal Society of Edinburgh: Section A - Mathematics, 125A (6) 1305-1329 (1995).
(A1)
[07] Carvalho, A.N. "Infinite Dimensional Dynamical Systems Described by ODE".
Journal
of Differential Equations, 116 (2) 338-404 (1995). (A1)
[08] Carvalho, A.N. and Ruas-Filho,
J.G. "Global Attractors for Parabolic
Problems in Fractional Power Spaces". SIAM
Journal on Mathematical Analysis, 26 (2) 415-427 (1995).
(A1)
[09] Carvalho, A.N., Oliva, S.M. , Pereira, A.L., and Rodriguez-Bernal, A. "Attractors for Parabolic Problems with Nonlinear
Boundary Conditions", Journal
of Mathematical Analysis and Applications, 207 (2) 409-461
(1997). (A2)
[10] Carvalho, A.N. and Cuminato, J.A.
"Reaction-Diffusion Problems in Cell Tissues".
Journal
of Dynamics and Differential Equations , 9 (1) 93-131
(1997). (A2)
[11] Carvalho,
A.N.,"Parabolic Problems with
Non-linear Boundary Conditions
in Cell Tissues". Resenhas do Instituto de
Matemática e Estatística - USP, 3 (1) 125-140
(1997). (NC)
[12] Carvalho,
A.N., Cholewa,
J.W. and Dlotko,
Tomasz, "Examples of Global Attractors in
Parabolic Problems".
Hokkaido University
Mathematical Journal, 27 (1) 77-103 (1998). (B2)
[13] Carvalho, A.N., Dlotko, Tomasz and Rodrigues, H.M. "Upper Semicontinuity of Attractors and Synchronization".
Journal
of Mathematical Analysis and Applications, 220 (1) 13-41
(1998). (A2)
[14] Carvalho, A.N. and Dlotko, Tomasz "Parabolic Problems in H1 with Fast Growing
Nonlinearities". Nonlinear
Analysis-Theory Methods and Applications, 33 (4) 391-399
(1998). (A2)
[15] Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Critical Nonlinearities at the Boundary". Comptes
Rendus de l'Académie des Sciences, 327 Série
I-Mathematics, 353-358 (1998). (A4)
[16] Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Perturbation of the Diffusion and Upper Semicontinuity
of Attractors". Applied
Mathematics Letters, 12 (5) 37-42 (1999). (A2)
[17] Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Parabolic Problems with Nonlinear Boundary Conditions
and Critical Nonlinearities". Journal
of Differential Equations, 156 (2) 376-406 (1999). (A1)
[18] Carvalho,
A.N., Cholewa,
J.W. and Dlotko,
Tomasz "Global Attractors for Problems
with Monotone Operators".
Bollettino
della Unione Matematica Italiana, Vol. II-B (03) 693-706
(1999). (B2)
[19] Arrieta, J.M., Carvalho, A.N. "Abstract
Parabolic Problems with Critical Nonlinearities and Applications to
Navier-Stokes and Heat Equations". Transactions
of the American Mathematical Society, 352 285-310 (2000).
(A1)
[20] Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Attractors for Parabolic Problems with Nonlinear
Boundary Condition. Uniform Bounds". Communications
in Partial Differential Equations 25 (1-2),1-37 (2000). (A1)
[21] Carvalho,
A.N. and Hines, G.
"Lower semicontinuity of attractors for
gradient systems".
Dynamic
Systems and Applications 9 (1) 37-50 (2000). (NC)
[22] Carvalho,
A.N. and Primo M.R.T.
"Boundary Synchronization in Parabolic
Problems with
Nonlinear Boundary Conditions". Dynamics
of Continuous, Discrete and Inpulsive Systems, 7 (4) 541-560
(2000).(B4)
[23] Bruschi, S.M., Carvalho, A.N. and Ruas-Filho, J.G. "The dynamics of a one-dimensional parabolic problem
versus the dynamics of its discretization". Journal
of Differential Equations 168 (1) 67-92 (2000). (A1)
[24] Arrieta, J.M., Carvalho, A.N. and Rodriguez-Bernal, A. "Upper Semicontinuity of Attractors for Parabolic
Problems with Localized Large Diffusion and Nonlinear Boundary
Conditions". Journal
of Differential Equations 168 (1) 33-59 (2000). (A1)
[25] Carvalho, A.N. and Gentile, C.B. "Comparison results for Nonlinear Parabolic Equations
with Monotone Principal Part". Journal
of Mathematical Analysis and Applications , 259 (1)
319-337 (2001). (A2)
[26]
Carvalho, A.N., Cholewa,
J.W. and Dlotko,
Tomasz "Abstract Parabolic Problems in
Ordered Banach Spaces".
Colloquium
Mathematicum, 90 (1) 1-17 (2001). (B2)
[27] Carvalho, A.N. and Cholewa, J.W. "Attractors for Strongly Damped Wave Equation with
Critical Nonlinearities". Pacific
Journal of Mathematics 207 (2) (2002). (A3)
[28]
Carvalho, A.N. and Cholewa, J.W. "Local Well Posedness for Strongly Damped Wave Equation
with Critical Nonlinearities". Bulletin
of the Australian Mathematical Society 66 443-463 (2002). (B2)
[29] 
Carvalho, A.N. and Gentile, C.B. "Asymptotic Behavior of Nonlinear Parabolic Equations
with Monotone Principal Part". Journal
of Mathematical Analysis and Applications 280 (2) 252-272
(2003). (A2)
[30] Arrieta, J. M. and Carvalho, A.N.
"Spectral Convergence and Nolinear Dynamics of
Reaction Diffusion Equations Under Perturbations of the Domain". Journal
of Differential Equations, 199 (1) 143-178
(2004). (A1)
[31]
Carvalho, A.N. and Dlotko, Tomasz "Partially Dissipative Systems in Uniformly Local Spaces"
Colloquium
Mathematicum, 100 (2) 221-242 (2004). (B2)
[32] Carvalho, A.N. and Primo M.R.T. "Spatial Homogeneity in Parabolic Problems with
Nonlinear Boundary Conditions". Communication
in Pure and Applied Analysis 3 (4)
637-651 (2004). (A2)
[33] Abreu, E. A. M. and Carvalho, A.N. "Lower
Semicontinuity of Attractors for Parabolic Problems with Dirichlet
Boundary Conditons in Varying Domains", Matemática
Contemporânea, 27 37-51 (2004) . (NC)
[34] Carvalho, A.N. and Cholewa, J.W. "Continuation and asymptotics to semilinear parabolic
equations with critical nonlinearities", Journal
of Mathematical Analysis and Applications, 310 (2) 557-578
(2005). (A2)
[35]
Carvalho, A.N. and Piskarev, S. "A general approximation scheme for attractors of
abstract parabolic problems". Numerical
Functional Analysis and Optimization 27 (7-8) 785 - 829
(2006). (A4)
[36]
Carvalho, A.N. and Lozada-Cruz,
G. "On parabolic equations with large
diffusion in dumbbell domains". Revista
de Matemática e Estatística, 24 (2)
91-106 (2006). (NC)
[37] Bruschi,
S. M.,
Carvalho, A.N., Cholewa,
J.W. and Dlotko,
Tomasz "Uniform
exponential dichotomy and continuity of attractors for singularly
perturbed damped wave equation". Journal
of Dynamics and Differential Equations 18 (3) 767-814 (2006). (A2)
[38] Arrieta, J. M., Carvalho, A.N. and Lozada-Cruz, G "Dynamics in dumbbell domains I. Continuity of the set
of equilibria", Journal
of Differential Equations, 231 551-597 (2006). (A1)
[39] Carvalho, A.N. and Lozada-Cruz, G. "Patterns in Parabolic Problems with Nonlinear Boundary
Conditions". Journal
of Mathematical Analysis and Applications, 325 1216-1239
(2007). (A2)
[40] Carvalho, A.N. and Langa, J.A., "Non-autonomous
perturbation of autonomous semilinear differential equations:
Continuity of local stable and unstable manifolds". Journal
of Differential Equations, 233 622–653 (2007). (A1)
[41] Carvalho, A.N., Langa, J.A., Robinson, J. C. and A. Suárez "Characterization
of non-autonomous attractors of a perturbed infinite-dimensional
gradient system". Journal
of Differential Equations, 236 (2007) 570–603. (A1)
[42] Carvalho, A.N. and Cholewa, J.W. "Strongly damped wave equations W1, p x Lp".
Discrete
and Continuous Dymanical Systems - Series A, Suppl. (2007) 230-239. (A2)
[43]
Carvalho, A.N. and Bruschi,
S.M., "Upper
semicontinuity of Attractors for the discretization of a strongly
damped wave equation". Matemática
Contemporânea, 32
39-62 (2007). (NC)
[44] Carvalho, A.N. and Cholewa, J.W. "Regularity of the solutions on the global attractor
for a semilinear hyperbolic damped wave equation", Journal
of Mathematical Analysis and Applications, 337 (2008)
932–948. (A2)
[45] Carbone, V.L., Carvalho, A.N. and Schiabel-Silva, K." Continuity of attractors for parabolic problems with
localized large diffusion". Nonlinear
Analysis: Theory, Methods and Applications, 68 (3) (2008) 515-535. (A2)
[46] Carvalho, A.N., Cholewa, J.W. and Dlotko, Tomasz "Strongly damped wave problems: bootstrapping and
regularity of solutions". Journal
of Differential Equations, 244
2310-2333 (2008). (A1)
[47] Carvalho, A.N. and Dlotko, Tomasz "Dynamics of the viscous Cahn-Hilliard Equation", Journal
of Mathematical Analysis and Applications, 344 (2) 703-325 (2008). (A2)
[48]
Carvalho, A.N., Dlotko,
Tomasz and Nascimento, M.J.D.
"Non-autonomous semilinear evolution equations
with almost sectorial operators''. Journal
of Evolution Equations, 8
(4) 631–659 (2008). (A2)
[49]
Carvalho, A.N. and Cholewa, J.W. "Local well posedness, asymptotic bootstrapping and
asymptotic behavior for a class of semilinear evolution equations of
second order in time". Transactions
of the American Mathematical Society, 361 (5)
2567-2586, (2009). (A1)
[50]
Carvalho, A.N., Langa, J. A., "An
extension of the concept of gradient systems which is stable under
perturbation". Journal
of Differential Equations, 246
(7) 2646-2668 (2009). (A1)
[51] Carbone, V.L., Carvalho, A.N. and Schiabel-Silva, K." Continuity of the dynamics in a localized large
diffusion problem with nonlinear boundary conditions", Journal
of Mathematical Analysis and Applications, 356 (1) 69-85 (2009). (A2)
[52]
Carvalho, A.N., Cholewa,
J.W. and Dlotko,
Tomasz "Damped wave equations with fast
growing dissipative nonlinearities". Discrete
and Continuous Dymanical Systems - Series A, 24 (4) 1147-1165 (2009). (A2)
[53] Arrieta, J.M., Carvalho, A.N. and Lozada-Cruz, G. "Dynamics in dumbbell domains II. The Limiting Problem",
Journal
of Differential Equations,
247 (1) 174-202 (2009).
(A1)
[54] Arrieta, J.M., Carvalho, A.N. and Lozada-Cruz, G. "Dynamics in dumbbell domains III. Continuity of
Attractors", Journal
of Differential Equations, 247 (1)
225-259 (2009). (A1)
[55]
Carvalho, A.N., Langa, J. A., and Robinson, J. C. "On the continuity of pullback attractors for evolution
processes", Nonlinear
Analysis: Theory, Methods and Applications, 71 (5-6) 1812-1824 (2009). (A2)
[56]
Carvalho, A.N. and Nascimento,
M.J.D. "Singularly non-autonomous
semilinear parabolic
problems with critical exponents and applications''. Discrete
and Continuous Dymanical Systems - Series S, 2 (3) 449-471 (2009). (B1)
[57]
Carvalho, A.N., Langa, J.A., and Robinson, J. C. "Lower Semicontinuity of attractors for non-gradient
dynamical systems". Ergodic
Theory and Dynamical Systems, 29 (6)
1765-1780 (2009). (A2)
[58]
Caraballo, T., Carvalho, A.N., Langa, J. A. and L. F. Rivero "Existence of pullback attractors for pullback
asymptotically compact processes", Nonlinear
Analysis: Theory, Methods and Applications, 72 (3-4) 1967-1976 (2010). (A2)
[59]
Carvalho, A.N., Langa, J. A., and Robinson, J. C. "Finite-dimensional global attractors in Banach spaces". Journal
of Differential Equations, 249
(12) 3099–3109 (2010). (A1)
[60] Caraballo, T.,
Carvalho,
A.N.,
Langa, J. A., and L. F. Rivero "A gradient-like non-autonomous evolution processes".
International
Journal of Bifurcation and Chaos, 20
(9) 2751-2760 (2010). (B1)
[61] Caraballo,
T.,
Carvalho,
A.N.,
Langa, J. A., and L. F. Rivero" A non-autonomous strongly damped wave equation:
existence and continuity of the pullback attractor", Nonlinear
Analysis: Theory, Methods and Applications, 74 2272-2283 (2011). (A2)
[62] Aragão-Costa, E. R., Caraballo, T.,
Carvalho, A.N. and Langa,
J. A. "Stability of gradient semigroups
under perturbations".
Nonlinearity,
24 2099–2117
(2011). (A1)
[63] Arrieta J.M.,
Carvalho, A.N., Pereira, M.
C. and Rilva, R. P. "Semilinear parabolic problems in thin domains with a
highly oscillatory boundary", Nonlinear
Analysis: Theory, Methods and Applications, 74 5111–5132
(2011). (A2)
[64]
Carvalho, A.N., Cholewa,
J.W. "Exponential global attractors for
semigroups in metric spaces with applications to differential equations".
Ergodic
Theory and Dynamical Systems, 31 (6) 1641–1667 (2011). (A2)
[65] Carvalho,
A.N., Langa, J. A., and Robinson, J. C. "Structure
and bifurcation of pullback attractors in a non-autonomous
Chafee-Infante equation". Proceedings
of the American Mathematical Society, 140 (2012), 2357-2373. (A3)
[66] Aragão-Costa, E. R., Caraballo, T.,
Carvalho, A.N. and Langa,
J. A. "Continuity of Lyapunov functions
and of energy levels for generalized gradient semigroups".
Topological Methods in Nonlinear
Analysis, 39 57-82 (2012).
(A4)
[67] Bortolan, M. C.
Caraballo, T.,
Carvalho, A.N. and Langa,
J. A. "An estimate on the fractal
dimension of attractors of gradient-like dynamical systems",
Nonlinear
Analysis: Theory, Methods and Applications, 75 (14) 5702-5722 (2012)
(A2).
[68] Arrieta,
J.M., Carvalho, A.N., Langa, J.A., and Rodriguez-Bernal, A. "Continuity of dynamical structures for non-autonomous
evolution equations under singular perturbations". Journal
of Dynamics
and Differential Equations 24 (3) 427-481 (2012). (A2)
[69]
Carvalho, A.N., Cholewa,
J.W., Lozada-Cruz, G.
and Primo, M.R.T. "Reduction of infinite dimensional systems to finite
dimensions: Compact convergence approach". SIAM Journal on Mathematical Analysis, 45, 600-638, (2013). (A1)
[70] Carvalho,
A. N. and Sonner, S. "Pullback exponential attractors for evolution
processes in Banach spaces: Theoretical results",
Communications on Pure and Applied Analysis, 12 (6) 3047-3071 (2013). (A2).
[71] Arrieta J.M.,
Bezerra, F. D. M.
and Carvalho, A.N. "Rate of convergence of attractors for some singularly
perturbed parabolic problems".
Topological Methods in Nonlinear
Analysis, 41 (2) 229-253 (2013). (A4)
[72] Aragão-Costa, E. R., Caraballo, T.,
Carvalho, A.N. and Langa,
J. A. "Non-autonomous Morse decomposition
and Lyapunov functions for gradient-like processes",
Transactions
of the American Mathematical Society, 365 (10) 5277-5312 (2013). (A1).
[73] Bortolan, M. C.
Caraballo, T.,
Carvalho, A.N. and Langa,
J. A. "Skew Product Semiflows and Morse Decomposition", Journal
of Differential Equations, 255 (2013) 2436-2462 (A1)
[74]
Aragão-Costa, E. R.,
Carvalho, A.N., Planas,
G. and Marin, P. "Gradient-like nonlinear semigroups with infinitely
many equilibria and applications to cascade systems".
Topological Methods in Nonlinear
Analysis, 42 (2) 345-376 (2013). (A4)
[75]
Carvalho, A.N.
and Sonner, S.,
"Pullback Exponential Attractors for Evolution Processes in Banach Spaces: Properties and Applications",
Communications on Pure and Applied Analysis, 13 (3) 1141-1165 (2014). (A2).
[76]
Carvalho, A.N., Cholewa,
J.W. and Dlotko,
Tomasz "Equi-exponential attraction and
rate of convergence of attractors for singularly perturbed evolution
equations". Proceedings of the Royal Society of Edinburgh, Section A - Mathematics 144A 13-51 (2014). (A1)
[77]
Bortolan, M. C.
and
Carvalho, A.N. and
Langa, J. A.
"Structure of attractors for skew product semiflows", Journal of Differential Equations, 257 (2) 490-522 (2014). (A1)
[78]
Carvalho, A.N.,
Langa, J. A. and
Robinson, J. C.
"Non-autonomous dynamical systems", Discrete and Continuous Dynamical Systems - Series B, 20 (3) 703-747 (2015). (A3)
[79]
Andrade, B.,
Carvalho, A.N., Carvalho-Neto,
P. M. and Marin, P. "Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results". Topological Methods in Nonlinear Analysis, 45, (2) 439-468 (2015). (A4)
[80]
Bonotto, E. M.
Bortolan, M. C.
Carvalho, A.N., Czaja, R.
"Attractors for impulsive dynamical systems",
Journal of Differential Equations, 259 (7) 2602-2625 (2015). (A1)
[81] Bortolan, M. C. and
Carvalho, A.N. "Damped
wave equations and their Yosida Approximations",
Topological Methods in Nonlinear
Analysis, 46 (2) 563-602 (2015). (A4)
[82] Carvalho,
A.N., Cholewa,
J.W., and Nascimento,
M.J.D." On the continuation of solutions
of non-autonomous semilinear parabolic problems",
Proceedings of the Edinburgh Mathematical Society, 59 (1) 17-55 (2016). (A4)
[83]
Caraballo, T. ,
Carvalho, A.N.,
Costa, H. B. and
Langa, J. A.
"Equi-attraction and continuity of attractors for skew-product semiflows", Discrete and Continuous Dynamical Systems - Series B, 21 (9) 2949-2967 (2016). (A3)
[84]
Bezerra, F. D. M.,
Carvalho, A.N.,
Cholewa,
J.W.
and
Nascimento,
M.J.D. "Parabolic approximation of damped
wave equations via fractional powers: fast growing nonlinearities and
continuity of the dynamics ",
Journal of Mathematical Analysis and Applications, 450 (1) 377-405 (2017). (A2)
[85]
Carvalho, A.N. and
Pires, L. ,
"Rate of Convergence of Attractors for Singularly Perturberd Semilinear Problems", Journal of Mathematical Analysis and Applications, 452 (1) 258-296 (2017). (A2)
[86]
Cholewa, J.W. and
Carvalho, A.N. "NLS-like equations in bounded domains: parabolic approximation procedure", Discrete and Continuous Dynamical Systems - Series B, 23 (1) 57-77 (2018). (A3)
[87]
Bezerra, F. D. M.,
Carvalho, A.N.,
Dlotko, Tomasz,
and Nascimento,
M.J.D. "Fractional Schrodinger Equation; solvability, asymptotic behaviour and connection with classical Schrodinger Equation",
Journal of Mathematical Analysis and Applications, 457 (1) 336-360 (2018). (A2)
[88]
Caballero, R.,
Carvalho, A.N.,
Marín-Rubio, P. and
Valero, J.
"Robustness of dynamically gradient multivalued dynamical systems", Discrete and Continuous Dynamical Systems - Series B, 24 (3)
1049-1077 (2019). (A3)
[89]
Carvalho, A.N. and
Pires, L. ,
"Parabolic equations with localized large diffusion: Rate of convergence of attractors",
Topological Methods and Nonlinear Analysis, 53 (1) 1-23 (2019). (A4).
[90]
Carvalho, A.N. and
Pimentel, J. F. S. ,
"Autonomous and non-autonomous unbounded attractors under perturbations", Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 149 (4), 877-903 (2019). (A1)
[91]
Broche, R. C. D. S.,
Carvalho, A.N. and Valero, J.
"A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics", Nonlinearity, 32 4912-4941 (2019). (A1)
[92]
Carvalho, A.N., Langa, J. A. and Robinson, J. C.
"Forwards dynamics of non-autonomous dynamical systems: driving semigroups without backwards uniqueness and structure of the attractor.",
Communications on Pure and Applied Analysis.
19 (4) 1997-2013 (2020). (A2)
[93]
Bruschi, Simone M.
Carvalho, A.N.
and
Pimentel, Juliana F. S. ,
"Limiting grow-up behavior for a one-parameter family of dissipative PDEs", Indiana University Mathematics Journal. Accepted for publication. (A1)
[94]
Bortolan, M. C.,
Carvalho, A.N., Cardoso, C. and Pires, L.
"Lipschitz perturbations of Morse-Smale semigroups",
Journal of Differential Equations.
Accepted for publication. (A1)
[95]
Bezerra, F. D. M.,
Carvalho, A.N.
and Nascimento,
M.J.D. " Fractional approximations of abstract semilinear parabolic problems
",
Discrete and Continuous Dynamical Systems - Series B.
Accepted for publication. (A3)
[96]
Carvalho, A.N., Cui, H., Cunha, A. C. and Langa, J. A.
"Smoothing and finite-dimensionality of uniform attractors in Banach spaces." Submitted for publication.
[97]
Carvalho, A.N., Langa, J. A., Robinson, J. C. and
Cunha, A. C.
"Finite dimension of negatively invariant subsets of Banach spaces." Submitted for publication.
[98]
Carvalho, A.N., Langa, J. A., Caraballo, T. and Sousa, A. N. O.
"Robustness of nonuniform exponential dichotomy via discretization." Submitted for publication.
[99]
Carvalho, A.N. , Li, Yanan, Mamani-Luna, T. L. and Moreira, E. M., "A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation." Submitted for publication.
[100]
Bortolan, M. C.,
Carvalho, A.N., Langa, J. A. and Raugel, G.
"Non-autonomous perturbations of Morse-Smale semigroups: stability of the phase diagram." Preprint.
[101]
Carvalho, A.N., Langa, J. A. and Obaya, R.
"Structure of non-autonomous attractors for a class of diffusively coupled ODE." Preprint.
Publications (Proceedings)
[01] Carvalho, A.N.
and Ruas-Filho, J.G.
"Perturbação de Operadores de
Evolução e Dicotomias". Atas do 26
Seminário Brasileiro de Análise. IM-UFRJ, (1987).
[02]
Carvalho, A.N. and Primo, M. R. T. "Semicontinuidade de Attratores". Atas do 44
Seminário Brasileiro de Análise, FFCLRP-USP,
Ribeirão Preto-SP, (1996).
[03]
Carvalho, A.N. and Primo, M. R. T. "Sincronização Através da
Fronteira
em Problemas Parabólicos com Condição de Fronteira
Não Linear". Atas do 48 Seminário Brasileiro
de Análise. LNCC-Petrópolis-RJ, (1998).
[04]
Bruschi, S.
Carvalho, A.N. and Ruas-Filho, J.G. "The dynamics of a one-dimensional parabolic problems
versus the dynamics of its discretization. Atas do 52
Seminário Brasileiro de Análise, São José
dos Campos, Novembro (2000).
[05]
Carvalho, A.N. and Santos, J. S. "The delay effect on reaction-diffusion equations".
Atas do 52 Seminário Brasileiro de Análise, São
José dos Campos, Novembro (2000).
[06]
Bruschi, S.
Carvalho, A.N. "Continuity of the Attractors for a One Dimensional
Perturbed Hyperbolic Equation." Atas do 53 Seminário
Brasileiro de Análise, Maringá, Maio de (2001).
[07]
Carvalho, A.N. and Cruz, German L. "Padrões em Problemas Parabólicos".
Atas do 53 Seminário Brasileiro de Análise,
Maringá, Maio (2001).
[08]
Carvalho, A.N. and Bruschi, S. "Semicontinuidade Superior de Atratores dos Problemas
da
Onda com Atrito Forte e Sua respectiva Equação
Discretizada". Atas do 54 Seminário Brasileiro de
Análise, São José do Rio Preto, 21-24 de Novembro
(2001).
[09]
Carvalho, A.N., Cruz, German L. and Primo, M. R. T. "Homogeneidade Espacial em Problemas Atmosféricos".
Atas do 56 Seminário Brasileiro de Análise, Novembro
(2002).
[10]
Carvalho, A.N. and Cruz, German L. "Uma observação numa
equação
de reação-difusão num domínio tipo dumbbel".
Atas do 58 Seminário Brasileiro de Análise, Novembro
(2003).
[11]
Carbone, V. L., Carvalho, A.N. and Schiabel-Silva, K. "Continuity of
attractors for parabolic problems with localized large diffusion".
Atas
do 61 Seminário Brasileiro de Análise, Maio (2005).
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