José M. Arrieta

A damped hyerbolic equation with critical exponent

José M. Arrieta, Alexandre N. Carvalho, Jack K. Hale · Communications in Partial Differential Equations · 1992 · 199 citations

Physics, Natural Sciences, Partial Differential Equations +5

Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds

José M. Arrieta, Alexandre N. Carvalho, Anı́bal Rodrı́guez-Bernal · Communications in Partial Differential Equations · 2000 · 148 citations

Attractor, Engineering, Microscopy +9

Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations

José M. Arrieta, Alexandre N. Carvalho · Transactions of the American Mathematical Society · 1999 · 137 citations · Full text

Numerical Analysis, Critical Nonlinearities, Engineering +11

Parabolic Problems with Nonlinear Boundary Conditions and Critical Nonlinearities

José M. Arrieta, Alexandre N. Carvalho, Anı́bal Rodrı́guez-Bernal · Journal of Differential Equations · 1999 · 135 citations

Free Boundary Problem, Nonlinear Hyperbolic Problem, Parabolic Problems +1

Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain

José M. Arrieta, Alexandre N. Carvalho · Journal of Differential Equations · 2003 · 97 citations

Spectral Theory, Perturbation Method, Physics +5