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Nolasco de Carvalho, Alexandre

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Author ID: nolasco-de-carvalho.alexandre Recent zbMATH articles by "Nolasco de Carvalho, Alexandre"
Published as: Carvalho, Alexandre N.; Carvalho, A. N.; de Carvalho, Alexandre Nolasco; De Carvalho, Alexandre Nolasco; Nolasco de Carvalho, Alexandre; de Carvalho, A. N.; de Carvalho, Alexandre
Homepage: http://conteudo.icmc.usp.br/pessoas/andcarva/publicac.html
External Links: MGP · ORCID
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Serials

20 Journal of Differential Equations
14 Journal of Mathematical Analysis and Applications
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Topological Methods in Nonlinear Analysis
6 Discrete and Continuous Dynamical Systems. Series B
5 Communications on Pure and Applied Analysis
3 Transactions of the American Mathematical Society
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Dynamics and Differential Equations
3 Nonlinear Analysis. Theory, Methods & Applications
2 Nonlinearity
2 Colloquium Mathematicum
2 Ergodic Theory and Dynamical Systems
2 Dynamic Systems and Applications
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Discrete and Continuous Dynamical Systems
2 Matemática Contemporânea
2 Journal of Evolution Equations
1 Bulletin of the Australian Mathematical Society
1 Scandinavian Journal of Statistics
1 Hokkaido Mathematical Journal
1 Indiana University Mathematics Journal
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Revista de Matemática e Estatística
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Differential Geometry and its Applications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
1 Applied Mathematical Sciences
1 Mathematical Surveys and Monographs
1 Discrete and Continuous Dynamical Systems. Series S
1 Progress in Nonlinear Differential Equations and Their Applications

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 1,838 times in 895 Documents Cited by Year
Attractors for infinite-dimensional non-autonomous dynamical systems. Zbl 1263.37002
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
215
2013
A damped hyperbolic equation with critical exponent. Zbl 0815.35067
Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K.
104
1992
Attractors of parabolic problems with nonlinear boundary conditions. Uniform bounds. Zbl 0953.35021
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
68
2000
Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations. Zbl 0940.35119
Arrieta, José M.; Carvalho, Alexandre N.
65
2000
Parabolic problems with nonlinear boundary conditions and critical nonlinearities. Zbl 0938.35077
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Anibal
64
1999
Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain. Zbl 1058.35028
Arrieta, Jose M.; Carvalho, Alexandre N.
56
2004
Local well posedness for strongly damped wave equations with critical nonlinearities. Zbl 1020.35059
Carvalho, Alexandre N.; Cholewa, Jan W.
54
2002
Attractors for strongly damped wave equations with critical nonlinearities. Zbl 1060.35082
Carvalho, Alexandre N.; Cholewa, Jan W.
52
2002
A general approximation scheme for attractors of abstract parabolic problems. Zbl 1110.35012
Carvalho, Alexandre N.; Piskarev, Sergey
46
2006
Semilinear parabolic problems in thin domains with a highly oscillatory boundary. Zbl 1223.35038
Arrieta, José M.; Carvalho, Alexandre N.; Pereira, Marcone C.; Silva, Ricardo P.
45
2011
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system. Zbl 1119.37023
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.; Suárez, Antonio
42
2007
Non-autonomous perturbation of autonomous semilinear differential equations: continuity of local stable and unstable manifolds. Zbl 1122.34038
Carvalho, Alexandre N.; Langa, José A.
39
2007
Global attractors for problems with monotone operators. Zbl 0932.37066
Carvalho, Alexandre N.; Cholewa, Jan W.; Dlotko, Tomasz
39
1999
Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation. Zbl 1282.35042
Carvalho, A. N.; Langa, J. A.; Robinson, J. C.
37
2012
Existence of pullback attractors for pullback asymptotically compact processes. Zbl 1195.34086
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe
37
2010
Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. Zbl 1110.35028
Arrieta, José M.; Carvalho, Alexandre N.; Lozada-Cruz, German
36
2006
An extension of the concept of gradient semigroups which is stable under perturbation. Zbl 1169.47044
Carvalho, Alexandre N.; Langa, José A.
35
2009
Asymptotic behaviour of nonlinear parabolic equations with monotone principal part. Zbl 1053.35027
Carvalho, Alexandre N.; Gentile, Cláudia B.
33
2003
Pullback exponential attractors for evolution processes in Banach spaces: theoretical results. Zbl 1390.37126
De Carvalho, Alexandre Nolasco; Sonner, Stefanie
28
2013
Upper semicontinuity of attractors and synchronization. Zbl 0907.34039
Carvalho, Alexandre N.; Rodrigues, Hildebrando M.; Dłotko, Tomasz
28
1998
Structure of attractors for skew product semiflows. Zbl 1291.37033
Bortolan, M. C.; Carvalho, A. N.; Langa, J. A.
27
2014
Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions. Zbl 0963.35024
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
27
2000
Strongly damped wave problems: bootstrapping and regularity of solutions. Zbl 1151.35056
Carvalho, A. N.; Cholewa, J. W.; Dlotko, Tomasz
26
2008
Stability of gradient semigroups under perturbations. Zbl 1225.37018
Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
25
2011
Dynamics in dumbbell domains III. Continuity of attractors. Zbl 1172.35034
Arrieta, José M.; Carvalho, Alexandre N.; Lozada-Cruz, German
25
2009
Damped wave equations with fast growing dissipative nonlinearities. Zbl 1178.35264
De Carvalho, Alexandre Nolasco; Cholewa, J. W.; Dlotko, Tomasz
25
2009
Dynamics in dumbbell domains. II: The limiting problem. Zbl 1172.35033
Arrieta, José M.; Carvalho, Alexandre N.; Lozada-Cruz, German
23
2009
Global attractors for impulsive dynamical systems - a precompact approach. Zbl 1356.37042
Bonotto, E. M.; Bortolan, M. C.; Carvalho, A. N.; Czaja, R.
23
2015
Attractors for parabolic problems with nonlinear boundary conditions. Zbl 0876.35059
Carvalho, Alexandre N.; Oliva, Sergio M.; Pereira, Antônio L.; Rodgriguez-Bernal, Aníbal
22
1997
Large diffusion with dispersion. Zbl 0781.35028
Carvalho, Alexandre N.; Hale, Jack K.
21
1991
On the continuity of pullback attractors for evolution processes. Zbl 1175.37078
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
21
2009
Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations. Zbl 1103.35020
Bruschi, S. M.; Carvalho, A. N.; Cholewa, J. W.; Dłotko, Tomasz
19
2006
A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor. Zbl 1213.35121
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe
19
2011
Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results. Zbl 1368.34018
de Andrade, Bruno; Carvalho, Alexandre N.; Carvalho-Neto, Paulo M.; Marín-Rubio, Pedro
19
2015
Pullback exponential attractors for evolution processes in Banach spaces: properties and applications. Zbl 1336.37059
De Carvalho, Alexandre Nolasco; Sonner, Stefanie
18
2014
Dynamics of the viscous Cahn-Hilliard equation. Zbl 1151.35008
Carvalho, A. N.; Dlotko, Tomasz
18
2008
Continuation and asymptotics of solutions to semilinear parabolic equations with critical nonlinearities. Zbl 1077.35031
Carvalho, A. N.; Cholewa, J. W.
17
2005
Non-autonomous dynamical systems. Zbl 1384.37024
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
17
2015
Infinite dimensional dynamics described by ordinary differential equations. Zbl 0847.34065
Carvalho, Alexandre N.
16
1995
Lower semicontinuity of attractors for non-autonomous dynamical systems. Zbl 1181.37016
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
16
2009
Comparison results for nonlinear parabolic equations with monotone principal part. Zbl 1019.35058
Carvalho, Alexandre N.; Gentile, Claudia B.
15
2001
A scalar parabolic equation whose asymptotic behavior is dictated by a system of ordinary differential equations. Zbl 0805.35058
Carvalho, Alexandre N.; Pereira, Antônio L.
14
1994
Partly dissipative systems in uniformly local spaces. Zbl 1059.35017
Carvalho, Alexandre N.; Dlotko, Tomasz
13
2004
Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics. Zbl 1356.35141
Bezerra, F. D. M.; Carvalho, A. N.; Cholewa, J. W.; Nascimento, M. J. D.
12
2017
Non-autonomous semilinear evolution equations with almost sectorial operators. Zbl 1180.35319
Carvalho, Alexandre N.; Dlotko, Tomasz; Nascimento, Marcelo J. D.
12
2008
Non-autonomous Morse decomposition and Lyapunov functions for gradient-like processes. Zbl 1291.37002
Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
12
2013
Skew product semiflows and Morse decomposition. Zbl 1371.37042
Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
12
2013
Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time. Zbl 1169.35010
Carvalho, A. N.; Cholewa, J. W.
11
2009
Regularity of solutions on the global attractor for a semilinear damped wave equation. Zbl 1139.35026
Carvalho, A. N.; Cholewa, J. W.
11
2008
Continuity of attractors for parabolic problems with localized large diffusion. Zbl 1143.35011
Carbone, Vera Lúcia; Carvalho, Alexandre N.; Schiabel-Silva, Karina
11
2008
Strongly damped wave equations in \(W^ {1,p}_ 0(\Omega)\times L^ p(\Omega)\). Zbl 1163.35328
Carvalho, A. N.; Cholewa, J. W.
10
2007
Singularly non-autonomous semilinear parabolic problems with critical exponents. Zbl 1180.35320
de Carvalho, Alexandre Nolasco; Nascimento, Marcelo J. D.
10
2009
Fractional Schrödinger equation; solvability and connection with classical Schrödinger equation. Zbl 06779600
Bezerra, Flank D. M.; Carvalho, Alexandre N.; Dlotko, Tomasz; Nascimento, Marcelo J. D.
9
2018
A gradient-like nonautonomous evolution process. Zbl 1202.35122
Caraballo, Tomás; Langa, José A.; Rivero, Felipe; Carvalho, Alexandre N.
9
2010
Delay-partial differential equations with some large diffusion. Zbl 0809.35148
Carvalho, Alexandre N.; Oliveira, Luiz Augusto F.
8
1994
Contracting sets and dissipation. Zbl 0846.35066
Carvalho, Alexandre N.
8
1995
Attractors under autonomous and non-autonomous perturbations. Zbl 1464.34002
Bortolan, Matheus C.; Carvalho, Alexandre N.; Langa, José A.
8
2020
Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup. Zbl 1271.37019
Aragão-Costa, Eder R.; Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.
7
2012
Global attractors for parabolic problems in fractional power spaces. Zbl 0824.35009
Nolasco de Carvalho, Alexandre; Ruas-Filho, José Gaspar
5
1995
Attractors for semilinear parabolic problems with Dirichlet boundary conditions in varying domains. Zbl 1082.35037
de Abreu, Emerson A. M.; Carvalho, Alexandre N.
5
2004
Critical nonlinearities at the boundary. Zbl 0915.35058
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
5
1998
Rate of convergence of attractors for singularly perturbed semilinear problems. Zbl 1372.35046
Carvalho, Alexandre N.; Pires, Leonardo
4
2017
Examples of global attractors in parabolic problems. Zbl 0898.35013
Carvalho, Alexandre N.; Cholewa, Jan W.; Dlotko, Tomasz
4
1998
The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization. Zbl 0966.35056
Bruschi, Simone M.; Carvalho, Alexandre N.; Ruas-Filho, José G.
4
2000
Patterns in parabolic problems with nonlinear boundary conditions. Zbl 1160.34023
Carvalho, Alexandre N.; Lozada-Cruz, German
4
2007
Reduction of infinite dimensional systems to finite dimensions: compact convergence approach. Zbl 1282.35056
Carvalho, A. N.; Cholewa, J. W.; Lozada-Cruz, G.; Primo, M. R. T.
4
2013
Abstract parabolic problems in ordered Banach spaces. Zbl 0986.35058
Carvalho, Alexandre N.; Cholewa, Jan W.; Dlotko, Tomasz
4
2001
Perturbation of the diffusion and upper semicontinuity of attractors. Zbl 0948.37056
Arrieta, J. M.; Carvalho, A. N.; Rodríguez-Bernal, A.
4
1999
Rate of convergence of global attractors of some perturbed reaction-diffusion problems. Zbl 1331.35053
Arrieta, José M.; Bezerra, Flank D. M.; Carvalho, Alexandre N.
4
2013
Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations. Zbl 1297.37008
Arrieta, José M.; Carvalho, Alexandre N.
4
2012
Equi-exponential attraction and rate of convergence of attractors with application to a perturbed damped wave equation. Zbl 1435.35073
Carvalho, Alexandre N.; Cholewa, Jan W.; Dłotko, Tomasz
3
2014
Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems. Zbl 1307.47064
Aragao-Costa, Eder R.; Carvalho, Alexandre N.; Marín-Rubio, Pedro; Planas, Gabriela
3
2013
A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation. Zbl 1460.35026
Li, Yanan; Carvalho, Alexandre N.; Luna, Tito L. M.; Moreira, Estefani M.
3
2020
Lower semicontinuity of attractors for gradient systems. Zbl 0960.37007
de Carvalho, A. N.; Hines, Gwendolen
3
2000
Equi-attraction and continuity of attractors for skew-product semiflows. Zbl 1368.37022
Caraballo, Tomás; Carvalho, Alexandre N.; da Costa, Henrique B.; Langa, José A.
3
2016
Finite-dimensional global attractors in Banach spaces. Zbl 1215.35038
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
3
2010
Robustness of dynamically gradient multivalued dynamical systems. Zbl 1408.37133
Caballero, Rubén; Carvalho, Alexandre N.; Marín-Rubio, Pedro; Valero, José
3
2019
A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics. Zbl 1425.35115
de Cássia D. S. Broche, Rita; Carvalho, Alexandre N.; Valero, José
2
2019
Spatial homogeneity in damped hyperbolic equations. Zbl 0799.35156
Nolasco de Carvalho, Alexandre
2
1992
Reaction-diffusion problems in cell tissues. Zbl 0879.35075
de Carvalho, Alexandre Nolasco; Cuminato, José Alberto
2
1997
Boundary synchronization in parabolic problems with nonlinear boundary conditions. Zbl 1075.35529
Carvalho, Alexandre N.; Primo, Marcos R. T.
2
2000
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem. Zbl 1472.35037
Carvalho, Alexandre N.; Moreira, Estefani M.
2
2021
Parabolic problems in \(H^1\) with fast growing nonlinearities. Zbl 0939.35092
Carvalho, Alexandre N.; Dłotko, Tomasz
2
1998
Exponential global attractors for semigroups in metric spaces with applications to differential equations. Zbl 1247.37084
Carvalho, Alexandre N.; Cholewa, Jan W.
2
2011
Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions. Zbl 1183.35048
Carbone, Vera Lúcia; Carvalho, Alexandre N.; Schiabel-Silva, Karina
2
2009
Lipschitz perturbations of Morse-Smale semigroups. Zbl 1443.37058
Bortolan, M. C.; Cardoso, C. A. E. N.; Carvalho, A. N.; Pires, L.
2
2020
Fractional approximations of abstract semilinear parabolic problems. Zbl 1452.35085
Bezerra, Flank D. M.; Carvalho, Alexandre N.; Nascimento, Marcelo J. D.
2
2020
Parabolic equations with localized large diffusion: rate of convergence of attractors. Zbl 1419.35121
Carvalho, Alexandre N.; Pires, Leonardo
1
2019
Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Zbl 1336.35006
1
2015
Smoothing and finite-dimensionality of uniform attractors in Banach spaces. Zbl 1461.35063
Cui, Hongyong; Carvalho, Alexandre N.; Cunha, Arthur C.; Langa, José A.
1
2021
An estimate on the fractal dimension of attractors of gradient-like dynamical systems. Zbl 1248.37020
Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
1
2012
Spatial homogeneity in parabolic problems with nonlinear boundary conditions. Zbl 1065.35073
de Carvalho, Alexandre Nolasco; Teixeira Primo, Marcos Roberto
1
2004
On the continuation of solutions of non-autonomous semilinear parabolic problems. Zbl 1342.35162
Carvalho, Alexandre N.; Cholewa, Jan W.; Nascimento, Marcelo J. D.
1
2016
Parabolic problems with nonlinear boundary conditions in cell tissues. Zbl 1098.35543
de Carvalho, A. N.
1
1997
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem. Zbl 1472.35037
Carvalho, Alexandre N.; Moreira, Estefani M.
2
2021
Smoothing and finite-dimensionality of uniform attractors in Banach spaces. Zbl 1461.35063
Cui, Hongyong; Carvalho, Alexandre N.; Cunha, Arthur C.; Langa, José A.
1
2021
Attractors under autonomous and non-autonomous perturbations. Zbl 1464.34002
Bortolan, Matheus C.; Carvalho, Alexandre N.; Langa, José A.
8
2020
A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation. Zbl 1460.35026
Li, Yanan; Carvalho, Alexandre N.; Luna, Tito L. M.; Moreira, Estefani M.
3
2020
Lipschitz perturbations of Morse-Smale semigroups. Zbl 1443.37058
Bortolan, M. C.; Cardoso, C. A. E. N.; Carvalho, A. N.; Pires, L.
2
2020
Fractional approximations of abstract semilinear parabolic problems. Zbl 1452.35085
Bezerra, Flank D. M.; Carvalho, Alexandre N.; Nascimento, Marcelo J. D.
2
2020
Robustness of dynamically gradient multivalued dynamical systems. Zbl 1408.37133
Caballero, Rubén; Carvalho, Alexandre N.; Marín-Rubio, Pedro; Valero, José
3
2019
A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics. Zbl 1425.35115
de Cássia D. S. Broche, Rita; Carvalho, Alexandre N.; Valero, José
2
2019
Parabolic equations with localized large diffusion: rate of convergence of attractors. Zbl 1419.35121
Carvalho, Alexandre N.; Pires, Leonardo
1
2019
Fractional Schrödinger equation; solvability and connection with classical Schrödinger equation. Zbl 06779600
Bezerra, Flank D. M.; Carvalho, Alexandre N.; Dlotko, Tomasz; Nascimento, Marcelo J. D.
9
2018
Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics. Zbl 1356.35141
Bezerra, F. D. M.; Carvalho, A. N.; Cholewa, J. W.; Nascimento, M. J. D.
12
2017
Rate of convergence of attractors for singularly perturbed semilinear problems. Zbl 1372.35046
Carvalho, Alexandre N.; Pires, Leonardo
4
2017
Equi-attraction and continuity of attractors for skew-product semiflows. Zbl 1368.37022
Caraballo, Tomás; Carvalho, Alexandre N.; da Costa, Henrique B.; Langa, José A.
3
2016
On the continuation of solutions of non-autonomous semilinear parabolic problems. Zbl 1342.35162
Carvalho, Alexandre N.; Cholewa, Jan W.; Nascimento, Marcelo J. D.
1
2016
Global attractors for impulsive dynamical systems - a precompact approach. Zbl 1356.37042
Bonotto, E. M.; Bortolan, M. C.; Carvalho, A. N.; Czaja, R.
23
2015
Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results. Zbl 1368.34018
de Andrade, Bruno; Carvalho, Alexandre N.; Carvalho-Neto, Paulo M.; Marín-Rubio, Pedro
19
2015
Non-autonomous dynamical systems. Zbl 1384.37024
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
17
2015
Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Zbl 1336.35006
1
2015
Structure of attractors for skew product semiflows. Zbl 1291.37033
Bortolan, M. C.; Carvalho, A. N.; Langa, J. A.
27
2014
Pullback exponential attractors for evolution processes in Banach spaces: properties and applications. Zbl 1336.37059
De Carvalho, Alexandre Nolasco; Sonner, Stefanie
18
2014
Equi-exponential attraction and rate of convergence of attractors with application to a perturbed damped wave equation. Zbl 1435.35073
Carvalho, Alexandre N.; Cholewa, Jan W.; Dłotko, Tomasz
3
2014
Attractors for infinite-dimensional non-autonomous dynamical systems. Zbl 1263.37002
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
215
2013
Pullback exponential attractors for evolution processes in Banach spaces: theoretical results. Zbl 1390.37126
De Carvalho, Alexandre Nolasco; Sonner, Stefanie
28
2013
Non-autonomous Morse decomposition and Lyapunov functions for gradient-like processes. Zbl 1291.37002
Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
12
2013
Skew product semiflows and Morse decomposition. Zbl 1371.37042
Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
12
2013
Reduction of infinite dimensional systems to finite dimensions: compact convergence approach. Zbl 1282.35056
Carvalho, A. N.; Cholewa, J. W.; Lozada-Cruz, G.; Primo, M. R. T.
4
2013
Rate of convergence of global attractors of some perturbed reaction-diffusion problems. Zbl 1331.35053
Arrieta, José M.; Bezerra, Flank D. M.; Carvalho, Alexandre N.
4
2013
Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems. Zbl 1307.47064
Aragao-Costa, Eder R.; Carvalho, Alexandre N.; Marín-Rubio, Pedro; Planas, Gabriela
3
2013
Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation. Zbl 1282.35042
Carvalho, A. N.; Langa, J. A.; Robinson, J. C.
37
2012
Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup. Zbl 1271.37019
Aragão-Costa, Eder R.; Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.
7
2012
Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations. Zbl 1297.37008
Arrieta, José M.; Carvalho, Alexandre N.
4
2012
An estimate on the fractal dimension of attractors of gradient-like dynamical systems. Zbl 1248.37020
Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
1
2012
Semilinear parabolic problems in thin domains with a highly oscillatory boundary. Zbl 1223.35038
Arrieta, José M.; Carvalho, Alexandre N.; Pereira, Marcone C.; Silva, Ricardo P.
45
2011
Stability of gradient semigroups under perturbations. Zbl 1225.37018
Aragão-Costa, E. R.; Caraballo, T.; Carvalho, A. N.; Langa, J. A.
25
2011
A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor. Zbl 1213.35121
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe
19
2011
Exponential global attractors for semigroups in metric spaces with applications to differential equations. Zbl 1247.37084
Carvalho, Alexandre N.; Cholewa, Jan W.
2
2011
Existence of pullback attractors for pullback asymptotically compact processes. Zbl 1195.34086
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Rivero, Felipe
37
2010
A gradient-like nonautonomous evolution process. Zbl 1202.35122
Caraballo, Tomás; Langa, José A.; Rivero, Felipe; Carvalho, Alexandre N.
9
2010
Finite-dimensional global attractors in Banach spaces. Zbl 1215.35038
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
3
2010
An extension of the concept of gradient semigroups which is stable under perturbation. Zbl 1169.47044
Carvalho, Alexandre N.; Langa, José A.
35
2009
Dynamics in dumbbell domains III. Continuity of attractors. Zbl 1172.35034
Arrieta, José M.; Carvalho, Alexandre N.; Lozada-Cruz, German
25
2009
Damped wave equations with fast growing dissipative nonlinearities. Zbl 1178.35264
De Carvalho, Alexandre Nolasco; Cholewa, J. W.; Dlotko, Tomasz
25
2009
Dynamics in dumbbell domains. II: The limiting problem. Zbl 1172.35033
Arrieta, José M.; Carvalho, Alexandre N.; Lozada-Cruz, German
23
2009
On the continuity of pullback attractors for evolution processes. Zbl 1175.37078
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
21
2009
Lower semicontinuity of attractors for non-autonomous dynamical systems. Zbl 1181.37016
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.
16
2009
Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time. Zbl 1169.35010
Carvalho, A. N.; Cholewa, J. W.
11
2009
Singularly non-autonomous semilinear parabolic problems with critical exponents. Zbl 1180.35320
de Carvalho, Alexandre Nolasco; Nascimento, Marcelo J. D.
10
2009
Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions. Zbl 1183.35048
Carbone, Vera Lúcia; Carvalho, Alexandre N.; Schiabel-Silva, Karina
2
2009
Strongly damped wave problems: bootstrapping and regularity of solutions. Zbl 1151.35056
Carvalho, A. N.; Cholewa, J. W.; Dlotko, Tomasz
26
2008
Dynamics of the viscous Cahn-Hilliard equation. Zbl 1151.35008
Carvalho, A. N.; Dlotko, Tomasz
18
2008
Non-autonomous semilinear evolution equations with almost sectorial operators. Zbl 1180.35319
Carvalho, Alexandre N.; Dlotko, Tomasz; Nascimento, Marcelo J. D.
12
2008
Regularity of solutions on the global attractor for a semilinear damped wave equation. Zbl 1139.35026
Carvalho, A. N.; Cholewa, J. W.
11
2008
Continuity of attractors for parabolic problems with localized large diffusion. Zbl 1143.35011
Carbone, Vera Lúcia; Carvalho, Alexandre N.; Schiabel-Silva, Karina
11
2008
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system. Zbl 1119.37023
Carvalho, Alexandre N.; Langa, José A.; Robinson, James C.; Suárez, Antonio
42
2007
Non-autonomous perturbation of autonomous semilinear differential equations: continuity of local stable and unstable manifolds. Zbl 1122.34038
Carvalho, Alexandre N.; Langa, José A.
39
2007
Strongly damped wave equations in \(W^ {1,p}_ 0(\Omega)\times L^ p(\Omega)\). Zbl 1163.35328
Carvalho, A. N.; Cholewa, J. W.
10
2007
Patterns in parabolic problems with nonlinear boundary conditions. Zbl 1160.34023
Carvalho, Alexandre N.; Lozada-Cruz, German
4
2007
A general approximation scheme for attractors of abstract parabolic problems. Zbl 1110.35012
Carvalho, Alexandre N.; Piskarev, Sergey
46
2006
Dynamics in Dumbbell domains. I: Continuity of the set of equilibria. Zbl 1110.35028
Arrieta, José M.; Carvalho, Alexandre N.; Lozada-Cruz, German
36
2006
Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations. Zbl 1103.35020
Bruschi, S. M.; Carvalho, A. N.; Cholewa, J. W.; Dłotko, Tomasz
19
2006
Continuation and asymptotics of solutions to semilinear parabolic equations with critical nonlinearities. Zbl 1077.35031
Carvalho, A. N.; Cholewa, J. W.
17
2005
Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain. Zbl 1058.35028
Arrieta, Jose M.; Carvalho, Alexandre N.
56
2004
Partly dissipative systems in uniformly local spaces. Zbl 1059.35017
Carvalho, Alexandre N.; Dlotko, Tomasz
13
2004
Attractors for semilinear parabolic problems with Dirichlet boundary conditions in varying domains. Zbl 1082.35037
de Abreu, Emerson A. M.; Carvalho, Alexandre N.
5
2004
Spatial homogeneity in parabolic problems with nonlinear boundary conditions. Zbl 1065.35073
de Carvalho, Alexandre Nolasco; Teixeira Primo, Marcos Roberto
1
2004
Asymptotic behaviour of nonlinear parabolic equations with monotone principal part. Zbl 1053.35027
Carvalho, Alexandre N.; Gentile, Cláudia B.
33
2003
Local well posedness for strongly damped wave equations with critical nonlinearities. Zbl 1020.35059
Carvalho, Alexandre N.; Cholewa, Jan W.
54
2002
Attractors for strongly damped wave equations with critical nonlinearities. Zbl 1060.35082
Carvalho, Alexandre N.; Cholewa, Jan W.
52
2002
Comparison results for nonlinear parabolic equations with monotone principal part. Zbl 1019.35058
Carvalho, Alexandre N.; Gentile, Claudia B.
15
2001
Abstract parabolic problems in ordered Banach spaces. Zbl 0986.35058
Carvalho, Alexandre N.; Cholewa, Jan W.; Dlotko, Tomasz
4
2001
Attractors of parabolic problems with nonlinear boundary conditions. Uniform bounds. Zbl 0953.35021
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
68
2000
Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations. Zbl 0940.35119
Arrieta, José M.; Carvalho, Alexandre N.
65
2000
Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions. Zbl 0963.35024
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
27
2000
The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization. Zbl 0966.35056
Bruschi, Simone M.; Carvalho, Alexandre N.; Ruas-Filho, José G.
4
2000
Lower semicontinuity of attractors for gradient systems. Zbl 0960.37007
de Carvalho, A. N.; Hines, Gwendolen
3
2000
Boundary synchronization in parabolic problems with nonlinear boundary conditions. Zbl 1075.35529
Carvalho, Alexandre N.; Primo, Marcos R. T.
2
2000
Parabolic problems with nonlinear boundary conditions and critical nonlinearities. Zbl 0938.35077
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Anibal
64
1999
Global attractors for problems with monotone operators. Zbl 0932.37066
Carvalho, Alexandre N.; Cholewa, Jan W.; Dlotko, Tomasz
39
1999
Perturbation of the diffusion and upper semicontinuity of attractors. Zbl 0948.37056
Arrieta, J. M.; Carvalho, A. N.; Rodríguez-Bernal, A.
4
1999
Upper semicontinuity of attractors and synchronization. Zbl 0907.34039
Carvalho, Alexandre N.; Rodrigues, Hildebrando M.; Dłotko, Tomasz
28
1998
Critical nonlinearities at the boundary. Zbl 0915.35058
Arrieta, José M.; Carvalho, Alexandre N.; Rodríguez-Bernal, Aníbal
5
1998
Examples of global attractors in parabolic problems. Zbl 0898.35013
Carvalho, Alexandre N.; Cholewa, Jan W.; Dlotko, Tomasz
4
1998
Parabolic problems in \(H^1\) with fast growing nonlinearities. Zbl 0939.35092
Carvalho, Alexandre N.; Dłotko, Tomasz
2
1998
Attractors for parabolic problems with nonlinear boundary conditions. Zbl 0876.35059
Carvalho, Alexandre N.; Oliva, Sergio M.; Pereira, Antônio L.; Rodgriguez-Bernal, Aníbal
22
1997
Reaction-diffusion problems in cell tissues. Zbl 0879.35075
de Carvalho, Alexandre Nolasco; Cuminato, José Alberto
2
1997
Parabolic problems with nonlinear boundary conditions in cell tissues. Zbl 1098.35543
de Carvalho, A. N.
1
1997
Infinite dimensional dynamics described by ordinary differential equations. Zbl 0847.34065
Carvalho, Alexandre N.
16
1995
Contracting sets and dissipation. Zbl 0846.35066
Carvalho, Alexandre N.
8
1995
Global attractors for parabolic problems in fractional power spaces. Zbl 0824.35009
Nolasco de Carvalho, Alexandre; Ruas-Filho, José Gaspar
5
1995
A scalar parabolic equation whose asymptotic behavior is dictated by a system of ordinary differential equations. Zbl 0805.35058
Carvalho, Alexandre N.; Pereira, Antônio L.
14
1994
Delay-partial differential equations with some large diffusion. Zbl 0809.35148
Carvalho, Alexandre N.; Oliveira, Luiz Augusto F.
8
1994
A damped hyperbolic equation with critical exponent. Zbl 0815.35067
Arrieta, José; Carvalho, Alexandre N.; Hale, Jack K.
104
1992
Spatial homogeneity in damped hyperbolic equations. Zbl 0799.35156
Nolasco de Carvalho, Alexandre
2
1992
Large diffusion with dispersion. Zbl 0781.35028
Carvalho, Alexandre N.; Hale, Jack K.
21
1991
all top 5

Cited by 791 Authors

68 Nolasco de Carvalho, Alexandre
39 Caraballo Garrido, Tomás
38 Langa, Jose’ Antonio
35 Arrieta, José M.
32 Rodríguez-Bernal, Aníbal
30 Sun, Chunyou
28 Li, Yangrong
26 Kloeden, Peter Eris
23 Bezerra, Flank David Morais
22 Simsen, Jacson
22 Valero, José
20 Cholewa, Jan W.
20 Zhong, Chengkui
19 Pereira, Marcone Corrêa
18 Nascimento, Marcelo Jose Dias
18 Yang, Zhijian
16 Robinson, James Cooper
15 Cui, Hongyong
15 Nguyen Huy Tuan
15 Yang, Meihua
13 Bonotto, Everaldo M.
13 Bortolan, Matheus Cheque
13 Dlotko, Tomasz W.
13 Wang, Bixiang
12 Wang, Renhai
12 Yang, Xinguang
11 Kapustyan, Oleksiy V.
11 Zhou, Shengfan
10 Chueshov, Igor’ Dmitrievich
10 Da Silva, Ricardo Parreira
10 Marín-Rubio, Pedro
10 Obaya, Rafael
10 Zelik, Sergey V.
9 Freitas, Mirelson M.
9 Gentile, Cláudia Buttarello
9 Li, Desheng
9 Ma, To Fu
9 Meng, Fengjuan
9 Simsen, Mariza Stefanello
9 Xie, Yongqin
9 Zhu, Kaixuan
8 Lasiecka, Irena
8 Liu, Zhiming
8 Yang, Lu
8 Yin, Jinyan
8 You, Bo
8 Zhang, Qiangheng
8 Zhou, Feng
7 Carbone, Vera Lúcia
7 Cung The Anh
7 Czaja, Radosław
7 Gu, Anhui
7 Ju, Xuewei
7 Kalita, Piotr
7 Lamberti, Pier Domenico
7 Li, Fuzhi
7 Li, Yanan
7 Lozada-Cruz, German
6 Aragão, Gleiciane S.
6 Bruschi, Simone Mazzini
6 Collegari, Rodolfo
6 Khanmamedov, Azer Kh.
6 Li, Dingshi
6 Liu, Cuncai
6 Nakasato, Jean Carlos
6 Pata, Vittorino
6 Pereira, Antônio Luiz
6 Pires, Leonardo
6 Rivero, Felipe
6 Schiabel, Karina
6 Shi, Lin
6 Wang, Xiaohu
6 Yan, Xingjie
5 de Andrade, Bruno
5 Duan, Jinqiao
5 Figueroa-López, Rodiak N.
5 Kalantarov, Varga K.
5 Li, Dandan
5 Li, Xiaojun
5 Liang, Jin
5 Łukaszewicz, Grzegorz
5 Mei, Xinyu
5 Miranville, Alain M.
5 Piskarëv, S. I.
5 Song, Xiaoya
5 Sonner, Stefanie
5 Tan, Wen
5 Viana, Arlúcio
5 Vidal-López, Alejandro
5 Wang, Yejuan
5 Wang, Yonghai
5 Xiao, Ti-Jun
5 Yue, Gaocheng
5 Zhao, Caidi
5 Zhao, Wenqiang
4 Aragão-Costa, Eder R.
4 Chepyzhov, Vladimir V.
4 Conti, Monica C.
4 Cuevas, Claudio
4 da Silva, Severino Horácio
...and 691 more Authors
all top 5

Cited in 182 Serials

115 Journal of Differential Equations
75 Journal of Mathematical Analysis and Applications
63 Discrete and Continuous Dynamical Systems. Series B
60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Discrete and Continuous Dynamical Systems
26 Communications on Pure and Applied Analysis
18 Journal of Mathematical Physics
18 Journal of Dynamics and Differential Equations
17 Applicable Analysis
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16 Topological Methods in Nonlinear Analysis
16 Nonlinear Analysis. Real World Applications
14 Stochastics and Dynamics
12 Applied Mathematics Letters
11 Applied Mathematics and Optimization
11 Journal of Evolution Equations
10 Mathematical Methods in the Applied Sciences
8 Nonlinearity
8 Transactions of the American Mathematical Society
8 Communications in Partial Differential Equations
8 Advances in Difference Equations
8 Boundary Value Problems
7 Applied Mathematics and Computation
7 Proceedings of the American Mathematical Society
7 Discrete and Continuous Dynamical Systems. Series S
6 Computers & Mathematics with Applications
6 Journal of Difference Equations and Applications
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Journal of Mathematical Sciences (New York)
5 NoDEA. Nonlinear Differential Equations and Applications
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Physica D
4 Asymptotic Analysis
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 SIAM Journal on Mathematical Analysis
4 Electronic Journal of Differential Equations (EJDE)
4 Abstract and Applied Analysis
4 Discrete Dynamics in Nature and Society
4 Communications in Nonlinear Science and Numerical Simulation
4 Communications in Contemporary Mathematics
4 Dynamical Systems
4 SIAM Journal on Applied Dynamical Systems
4 Journal of Applied Analysis and Computation
4 Nonlinear Analysis. Theory, Methods & Applications
3 Bulletin of the Australian Mathematical Society
3 Numerical Functional Analysis and Optimization
3 Quarterly of Applied Mathematics
3 Semigroup Forum
3 Stochastic Analysis and Applications
3 Acta Applicandae Mathematicae
3 The Journal of Geometric Analysis
3 Opuscula Mathematica
3 Nonlinear Dynamics
3 Vietnam Journal of Mathematics
3 Taiwanese Journal of Mathematics
3 Journal of Mathematical Fluid Mechanics
3 Acta Mathematica Sinica. English Series
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Stochastics
3 Set-Valued and Variational Analysis
3 Evolution Equations and Control Theory
3 Journal of Function Spaces
3 AIMS Mathematics
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Ukrainian Mathematical Journal
2 Acta Mathematica Vietnamica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Mathematische Annalen
2 Ergodic Theory and Dynamical Systems
2 Chinese Annals of Mathematics. Series B
2 Acta Mathematicae Applicatae Sinica. English Series
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Journal of Nonlinear Science
2 Calculus of Variations and Partial Differential Equations
2 Russian Journal of Mathematical Physics
2 Computational and Applied Mathematics
2 Advances in Differential Equations
2 Mathematical Problems in Engineering
2 Differential Equations and Dynamical Systems
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Fractional Calculus & Applied Analysis
2 Revista Matemática Complutense
2 Lobachevskii Journal of Mathematics
2 Annales Henri Poincaré
2 Qualitative Theory of Dynamical Systems
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Applied Mathematics and Computing
2 São Paulo Journal of Mathematical Sciences
2 International Journal of Differential Equations
2 ISRN Mathematical Analysis
2 Advances in Nonlinear Analysis
2 Open Mathematics
2 Applied Mathematics and Nonlinear Sciences
2 Electronic Research Archive
1 Communications in Mathematical Physics
1 Inverse Problems
...and 82 more Serials
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Cited in 37 Fields

750 Partial differential equations (35-XX)
338 Dynamical systems and ergodic theory (37-XX)
110 Ordinary differential equations (34-XX)
61 Probability theory and stochastic processes (60-XX)
56 Operator theory (47-XX)
52 Fluid mechanics (76-XX)
43 Mechanics of deformable solids (74-XX)
25 Numerical analysis (65-XX)
20 Real functions (26-XX)
19 Biology and other natural sciences (92-XX)
16 Systems theory; control (93-XX)
15 Global analysis, analysis on manifolds (58-XX)
12 Integral equations (45-XX)
9 Difference and functional equations (39-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 General topology (54-XX)
5 Measure and integration (28-XX)
4 Mechanics of particles and systems (70-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Geophysics (86-XX)
3 Abstract harmonic analysis (43-XX)
3 Functional analysis (46-XX)
3 Optics, electromagnetic theory (78-XX)
3 Quantum theory (81-XX)
2 Topological groups, Lie groups (22-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
2 Operations research, mathematical programming (90-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Information and communication theory, circuits (94-XX)

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