Attractors for infinite-dimensional non-autonomous dynamical systems A Carvalho, JA Langa, J Robinson Springer Science & Business Media, 2012 | 752 | 2012 |
A damped hyperbolic equation with critical exponent J Arrieta, AN Carvalho, JK Hale Communications in partial differential equations 17 (5-6), 841-866, 1992 | 244 | 1992 |
Parabolic problems with nonlinear boundary conditions and critical nonlinearities JM Arrieta, AN Carvalho, A Rodrı́guez-Bernal journal of differential equations 156 (2), 376-406, 1999 | 200 | 1999 |
Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations J Arrieta, A Carvalho Transactions of the American Mathematical Society 352 (1), 285-310, 2000 | 198 | 2000 |
Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds: Uniform Bounds JM Arrieta, AN Carvalho, A Rodríguez-Bernal Communications in Partial Differential Equations 25 (1-2), 1-37, 2000 | 189 | 2000 |
Attractors for strongly damped wave equations with critical nonlinearities AN Carvalho, JW Cholewa Pacific Journal of Mathematics 207 (2), 287-310, 2002 | 140 | 2002 |
Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain JM Arrieta, AN Carvalho Journal of Differential Equations 199 (1), 143-178, 2004 | 131 | 2004 |
Local well posedness for strongly damped wave equations with critical nonlinearities AN Carvalho, JW Cholewa Bulletin of the Australian Mathematical Society 66 (3), 443-463, 2002 | 125 | 2002 |
Dynamics in dumbbell domains I. Continuity of the set of equilibria JM Arrieta, AN Carvalho, G Lozada-Cruz Journal of Differential Equations 231 (2), 551-597, 2006 | 111 | 2006 |
A general approximation scheme for attractors of abstract parabolic problems AN Carvalho, S Piskarev Numerical functional analysis and optimization 27 (7-8), 785-829, 2006 | 111 | 2006 |
Existence of pullback attractors for pullback asymptotically compact processes T Caraballo, AN Carvalho, JA Langa, F Rivero Nonlinear Analysis: Theory, Methods & Applications 72 (3-4), 1967-1976, 2010 | 95 | 2010 |
Semilinear parabolic problems in thin domains with a highly oscillatory boundary JM Arrieta, AN Carvalho, MC Pereira, RP Silva Nonlinear Analysis: Theory, Methods & Applications 74 (15), 5111-5132, 2011 | 93 | 2011 |
An extension of the concept of gradient semigroups which is stable under perturbation AN Carvalho, JA Langa Journal of Differential Equations 246 (7), 2646-2668, 2009 | 93 | 2009 |
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system AN Carvalho, JA Langa, JC Robinson, A Suárez Journal of Differential Equations 236 (2), 570-603, 2007 | 91 | 2007 |
Dynamics in dumbbell domains II. The limiting problem JM Arrieta, AN Carvalho, G Lozada-Cruz Journal of Differential Equations 247 (1), 174-202, 2009 | 80 | 2009 |
Dynamics in dumbbell domains III. Continuity of attractors JM Arrieta, AN Carvalho, G Lozada-Cruz Journal of Differential Equations 247 (1), 225-259, 2009 | 78 | 2009 |
Upper semicontinuity of attractors and synchronization AN Carvalho, HM Rodrigues, T Dłotko Journal of mathematical analysis and applications 220 (1), 13-41, 1998 | 77 | 1998 |
Stability of gradient semigroups under perturbations ER Aragão-Costa, T Caraballo, AN Carvalho, JA Langa Nonlinearity 24 (7), 2099, 2011 | 74 | 2011 |
Strongly damped wave problems: bootstrapping and regularity of solutions AN Carvalho, JW Cholewa, T Dlotko Journal of Differential Equations 244 (9), 2310-2333, 2008 | 73 | 2008 |
Global attractors for problems with monotone operators AN Carvalho, JW Cholewa, T Dlotko | 72 | 1997 |