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SCOPUS - CITATIONS h-index: 25 Sum of times cited: 1895 Citing Articles |
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Attractors for Infinite-Dimensional Non-autonomous Dynamical Systems Carvalho, A.N., Langa, J.A., Robinson, J.C. (2013) Applied Mathematical Sciences 182 Springer-Verlag. |
223 |
| A damped hyperbolic equation with critical exponent Arrieta, J.M., Carvalho, A.N., Hale, J.K. (1992) Communications in Partial Differential Equations, 17 (5-6), pp. 841-866. |
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| Parabolic problems with nonlinear boundary conditions and critical nonlinearities Arrieta, J.M., Carvalho, A.N., Rodriguez-Bernal, A. (1999) Journal of Differential Equations, 156 (2), pp. 376-406. |
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| Attractors of parabolic problems with nonlinear boundary conditions. Uniform bounds Arrieta, J.M., Carvalho, A.N., Rodriguez-Bernal, A. (2000) Communications in Partial Differential Equations, 25 (1-2), pp. 1-37. |
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Attractors for strongly damped wave equations with critical nonlinearities Carvalho, A.N., Cholewa, J.W. (2002) Pacific Journal of Mathematics, 207 (2), pp. 287-310. |
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| Abstract parabolic problems with critical nonlinearities and applications to navier-stokes and heat equations Arrieta, J.M., Carvalho, A.N. (2000) Transactions of the American Mathematical Society, 352 (1), pp. 285-310. |
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Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain Arrieta, J.M., Carvalho, A.N. (2004) Journal of Differential Equations, 199 (1), pp. 143-178. |
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Local well posedness for strongly damped wave equations with critical nonlinearities Carvalho, A.N., Cholewa, J.W. (2002) Bulletin of the Australian Mathematical Society, 66 (3), pp. 443-463. | 58 |
Global attractors for problems with monotone operators Carvalho, A.N., Cholewa, J.W., Dlotko, T. (1999) Bollettino della Unione Matematica Italiana B, 2 (3), pp. 693-706. |
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A general approximation scheme for attractors of abstract parabolic problems Carvalho, A.N., Piskarev, S. (2006) Numerical Functional Analysis and Optimization, 27 (7), pp. 785-829. |
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Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system Carvalho, A.N., Langa, J.A., Robinson, J.C., Suarez, A. (2007) Journal of Differential Equations, 236 (2), pp. 570-603. |
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Dynamics in dumbbell domains I. Continuity of the set of equilibria Arrieta, J.M., Carvalho, A.N., Lozada-Cruz, G. (2006) Journal of Differential Equations, 231 (2), pp. 551-597. |
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Upper Semicontinuity of Attractors and Synchronization Carvalho, A.N., Rodrigues, H.M., Dlotko, T. (1998) Journal of Mathematical Analysis and Applications, 220 (1), pp. 13-41. |
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Existence of pullback attractors for pullback asymptotically compact processes Caraballo, T., Carvalho, A.N., Langa, J.A., Rivero, F. (2010) Nonlinear Analysis, Theory, Methods and Applications, 72 (3-4), pp. 1967-1976. |
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Semilinear parabolic problems in thin domains with a highly oscillatory boundary Arrieta, J.M., Carvalho, A.N., Pereira, M.C., Silva, R.P. (2011) Nonlinear Analysis, Theory, Methods and Applications, 3 (70), pp. 5111-5132. |
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An extension of the concept of gradient semigroups which is stable under perturbation Carvalho, A.N., Langa, J.A. (2009) Journal of Differential Equations, 246 (7), pp. 2646-2668. |
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Non-autonomous perturbation of autonomous semilinear differential equations: Continuity of local stable and unstable manifolds Carvalho, A.N., Langa, J.A. (2007) Journal of Differential Equations, 233 (2), pp. 622-653 |
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Asymptotic behaviour of non-linear parabolic equations with monotone principal part Carvalho, A.N., Gentile, C.B. (2003) Journal of Mathematical Analysis and Applications, 280 (2), pp. 252-272. |
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Strongly damped wave problems: Bootstrapping and regularity of solutions Carvalho, A.N., Cholewa, J.W., Dlotko, T. (2008) Journal of Differential Equations, 244 (9), pp. 2310-2333 |
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Attractors for parabolic problems with nonlinear boundary conditions Carvalho, A.N., Oliva, S.M., Pereira, A.L., Rodriguez-Bernal, A. (1997) Journal of Mathematical Analysis and Applications, 207 (2), pp. 409-461. |
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| Large diffusion with dispersion Carvalho, A.N., Hale, J.K. (1991) Nonlinear Analysis, 17 (12), pp. 1139-1151. |
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Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions Arrieta, J.M., Carvalho, A.N., Rodríguez-Bernal, A. (2000) Journal of Differential Equations, 168 , pp. 533-559 |
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Dynamics in dumbbell domains III. Continuity of attractors Arrieta, J.M., Carvalho, A.N., Lozada-Cruz, G. (2009) Journal of Differential Equations, 247 (1), pp. 225-259. |
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Stability of gradient semigroups under perturbations Aragão-Costa, E.R., Caraballo, T., Carvalho, A.N., Langa, J.A. (2011) Nonlinearity, 24 (7), pp. 2099-2117 |
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On the continuity of pullback attractors for evolution processes Carvalho, A.N., Langa, J.A., Robinson, J.C. (2009) Nonlinear Analysis, Theory, Methods and Applications, 71 , (5-6), pp. 1812-1824 |
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Dynamics in dumbbell domains II. The limiting problem Arrieta, J.M., Carvalho, A.N., Lozada-Cruz, G. (2009) Journal of Differential Equations, 247 (1), pp. 174-202. |
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Dynamics of the viscous Cahn-Hilliard equation Carvalho, A.N., Dlotko, T. (2008) Journal of Mathematical Analysis and Applications, 344 (2), pp. 703-725 |
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Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations Bruschi, S.M., Carvalho, A.N., Cholewa, J.W., Dlotko, T. (2006) Journal of Dynamics and Differential Equations, 18 (3), pp. 767-814. |
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Continuation and asymptotics of solutions to semilinear parabolic equations with critical nonlinearities Carvalho, A.N., Cholewa, J.W. (2005) Journal of Mathematical Analysis and Applications, 310 (2), pp. 557-578. |
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| A Scalar Parabolic Equation Whose Asymptotic Behavior Is Dictated by a System of Ordinary Differential Equations Carvalho, A.N., Pereira, A.L. (1994) Journal of Differential Equations, 112 (1), pp. 81-130. |
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Structure of attractors for skew product semiflows Bortolan, M.C., Carvalho, A.N., Langa, J.A. (2014) Journal of Differential Equations, 257 (2), pp. 490-522. | 19 |
Damped wave equations with fast growing dissipative nonlinearities Carvalho, A.N., Cholewa, J.W., Dlotko, T. (2009) Discrete and Continuous Dynamical Systems, 24 (4), pp. 1147-1165. |
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Global attractors for impulsive dynamical systems - A precompact approach Bonotto, E.M., Bortolan, M.C., Carvalho, A.N., Czaja, R. (2015) Journal of Differential Equations, 259 (7), pp. 2602-2625. |
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Non-autonomous dynamical systems Carvalho, A.N., Langa, J.A., Robinson, J.C. (2015) Discrete and Continuous Dynamical Systems 20 (3) 703-747 |
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Infinite dimensional dynamics described by ordinary differential equations Carvalho, A. N. (1995) Journal of Differential Equations, 116 (2), pp. 338-404. |
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Lower semicontinuity of attractors for non-autonomous dynamical systems Carvalho, A.N., Langa, J.A., Robinson, J.C. (2009) Ergodic Theory and Dynamical Systems, 29 (6), pp. 1765-1780. |
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Strongly damped wave equations in $W_0^{1,p}(\Omega) X L^p(\Omega)$ Carvalho, A.N., Cholewa, J.W. (2007) Discrete Contin. Dyn. Syst., (SUPPL.), pp. 230-239. |
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Non-autonomous semilinear evolution equations with almost sectorial operators Carvalho, A.N., Dlotko, T., Nascimento, M.J.D. (2008) Journal of Evolution Equations, 8 (4), pp. 631-659. |
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Partially dissipative systems in uniformly local spaces Carvalho, A.N., Dlotko, T. (2009) Colloquium Mathematicum 100 (2), pp. 221-242. |
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Continuity of attractors for parabolic problems with localized large diffusion Carbone, V.L., Carvalho, A.N., Schiabel-Silva, K. (2008) Nonlinear Analysis, Theory, Methods and Applications, 68 (3), pp. 515-535. |
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Pullback exponential attractors for evolution processes in banach spaces: Theoretical results Carvalho, A.N. and Sonner, S. (2013) Communications on Pure and Applied Analysis, 12 (6), pp. 3047-3071. |
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Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time Carvalho, A.N., Cholewa, J.W. (2009) Transactions of the American Mathematical Society, 361 (5), pp. 2567-2586. |
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Regularity of solutions on the global attractor for a semilinear damped wave equation Carvalho, A.N., Cholewa, J.W. (2008) Journal of Mathematical Analysis and Applications, 337 (2), pp. 932-948. |
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Comparison results for nonlinear parabolic equations with monotone principal part Carvalho, A.N., Gentile, C.B. (2001) Journal of Mathematical Analysis and Applications, 259 (1), pp. 319-337. |
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Delay-partial differential equations with some large diffusion Carvalho, A.N., Oliveira, L.A.F. (1994) Nonlinear Analysis, 22 (9), pp. 1057-1095. |
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| Continuity of Lyapunov functions and of energy level for a generalized gradient semigroup Aragão-Costa, E.R., Caraballo, T., Carvalho, A.N., Langa, J.A. (2012) Topological Methods in Nonlinear Analysis, 3 (39), pp. 57-82. |
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Skew product semiflows and Morse decomposition Bortolan, M.C., Caraballo, T., Carvalho, A.N., Langa, J.A. (2013) Journal of Differential Equations 255 (8) 2436-2462 |
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A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor Caraballo, T., Carvalho, A.N., Langa, J.A., Rivero, F. (2011) Nonlinear Analysis, Theory, Methods and Applications, 74 (6), pp. 2272-2283. |
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A gradient-like nonautonomous evolution process Caraballo, T., Langa, J.A., Rivero, F., Carvalho, A.N. (2010) International Journal of Bifurcation and Chaos, 20 (9), pp. 2751-2760. |
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| Contracting sets and dissipation Carvalho, A.N. (1995) Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 125 (6), pp. 1305-1329. |
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Semilinear fractional differential equations: Global solutions, critical nonlinearities and comparison de Andrade, B., Carvalho, A.N., Carvalho-Neto, P.M., Marín-Rubio, P. (2015) Topological Methods in Nonlinear Analysis, 45 (2), pp. 439-467. |
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Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes Aragão-Costa, E.R., Caraballo, T., Carvalho, A.N., Langa, J.A. (2013) Transactions of the American Mathematical Society, 365 (10), pp. 5277-5312. |
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The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization, Bruschi S.M., Carvalho A.N., Ruas-Filho J.G. Journal of Differential Equations, 168 (1) 67-92 (2000). |
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Examples of global attractors in parabolic problems Carvalho A.N., Cholewa J.W., Dlotko T. Hokkaido Mathematical Journal, 27 , pp. 77-108. (1998) |
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Lower semicontinuity of attractors for parabolic problems with Dirichlet boundary conditons in varying domains Abreu E.A.M., Carvalho A.N. (2004) Mat. Contemp., 27 , pp. 37-51. |
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Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications Carvalho, A.N., Sonner, S. (2013) Communications on Pure and Applied Analysis, 13 (3), pp. 1141-1165. |
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| Singularly non-autonomous semilinear parabolic problems with critical exponents Carvalho A.N., Nascimento M.J.D. (2009) Discrete and Continuous Dynamical Systems - Series S , 2 (3), pp. 449-471. |
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Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation Carvalho, A.N., Langa, J.A., Robinson, J.C. (2012) Proceedings of the American Mathematical Society, 140 (7), pp. 2357-2373. |
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Rate of convergence of global attractors of some perturbed reaction-diffusion problems Arrieta, J.M., Bezerra, F. D. M. and Carvalho, A.N., (2013) Topological Methods in Nonlinear Analysis, 41 (2), pp. 229-253. |
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| Perturbation of the diffusion and upper semicontinuity of attractors Arrieta, J.M., Carvalho, A.N., Rodriguez-Bernal, A. (1999) Applied Mathematics Letters, 12 (5), pp. 37-42. |
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| Global attractors for parabolic problems in fractional power spaces De Carvalho A.N., Ruas-Filho J.G. (1995) SIAM J. Math. Anal., 26 , pp. 415-427. |
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Critical nonlinearities at the boundary Arrieta, J.M., Carvalho, A.N., Rodriguez-Bernal, A. (1998) Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 327 (4), pp. 353-358. |
5 | Reduction of infinite dimensional systems to finite dimensions: Compact convergence approach Carvalho, A.N., Cholewa, J.W., Lozada-Cruz, G., Primo, M.R.T. (2013) SIAM Journal on Mathematical Analysis, 45 (2), pp. 600-638. | 4 |
Parabolic approximation of damped wave equations via fractional powers: Fast growing nonlinearities and continuity of the dynamics Bezerra F.D.M., Carvalho A.N., Cholewa J.W., Nascimento M.J.D. (2017) Journal of Mathematical Analysis and Applications, 450 (2), pp. 377-405. |
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| Patterns in parabolic problems with nonlinear boundary conditions Carvalho, A.N., Lozada-Cruz, G. (2007) Journal of Mathematical Analysis and Applications, 325 (2), pp. 1216-1239. |
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| Abstract parabolic problems in ordered Banach spaces Carvalho, A.N., Cholewa, J.W., Dlotko, T. (2001) Colloquium Mathematicum, 90 (1), pp. 1-17. |
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| Boundary synchronization in parabolic problems with nonlinear boundary conditions Carvalho, A.N., Primo, M.R.T. (2000) Dynamics of Continuous, Discrete and Impulsive Systems, 7 (4), pp. 541-560. |
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Fractional Schrodinger equation; solvability and connection with classical Schrodinger equation Bezerra, F.D.M., Carvalho, Dlotko, T., Nascimento, M.J.D (2018) Journal of Mathematical Analysis and Applications, 457 (1), pp. 336-360. |
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Rate of convergence of attractors for singularly perturbed semilinear problems Carvalho, A.N., Pires, L. (2017) Journal of Mathematical Analysis and Applications 452 (1) 258-296. |
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Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations Arrieta, J.M. , Carvalho, A.N., Langa, J.A., Rodriguez-Bernal, A. (2012) Journal of Dynamics and Differential Equations, 24 (3), pp. 427-481. |
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Exponential global attractors for semigroups in metric spaces with applications to differential equations Carvalho, A.N., Cholewa, J.W. (2011) Ergodic Theory and Dynamical Systems, 3 (6), pp. 1641-1667. |
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Spatial homogeneity in parabolic problems with nonlinear boundary conditions Carvalho, A.N., Primo, M.R.T. (2004) Communications on Pure and Applied Analysis, 3 (4), pp. 637-651. |
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| Reaction-diffusion problems in cell tissues De Carvalho, A.N., Cuminato, J.A. (1997) Journal of Dynamics and Differential Equations, 9 (1), pp. 93-131. |
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Equi-exponential attraction and rate of convergence of attractors with application to a perturbed damped wave equation Carvalho, A.N. , Cholewa, J.W. , Dlotko, T. (2014) Proceedings of the Royal Society of Edinburgh Section A: Mathematics 144 (1) 13-51 |
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Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems Aragão-Costa, E.R., Carvalho, A.N., Marín-Rubio, P., Planas, G. (2013) Topological Methods in Nonlinear Analysis 42 (2) 345-376. |
2 | Parabolic problems in H1 with fast growing nonlinearities Carvalho, A.N., Dlotko, T. (1998) Nonlinear Analysis, Theory, Methods and Applications, 33 (4), pp. 391-397. |
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The pullback attractor (Book Chapter) Carvalho, A.N., Langa, J.A. and Robinson, J.C. (2013) Applied Mathematical Sciences (Switzerland), 182 (4), pp. 3-22. |
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Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions Carbone, V.L., Carvalho, A.N., Schiabel-Silva, K. (2009) Journal of Mathematical Analysis and Applications, 356 (1), pp. 69-85. |
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Parabolic equations with localized large diffusion: Rate of convergence of attractors Carvalho, A.N., Pires, L. (2019) Topological Methods in Nonlinear Analysis 53 (1) 1-23. |
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Strongly damped wave equation and its yosida approximations Bortolan, M. C., Carvalho, A.N. (2019) Topological Methods in Nonlinear Analysis 46 (2) 523-602. |
1 | Finite-dimensional global attractors in Banach spaces Carvalho, A.N., Langa, J.A., Robinson, J.C. (2010) Journal of Differential Equations, 249 (12), pp. 3099-3109. |
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| An estimate on the fractal dimension of attractors of gradient-like dynamical systems Bortolan, M.C., Caraballo, T., Carvalho, A.N., Langa, J.A. (2012) Nonlinear Analysis, Theory, Methods and Applications, 75 (14), pp. 5702-5722. |
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