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Patterns in parabolic problems with nonlinear boundary conditions
(Elsevier B.V., 2007-01-15)
We obtain existence of asymptotically stable nonconstant equilibrium solutions for semilinear parabolic equations with nonlinear boundary conditions on small domains connected by thin channels. We prove the convergence of ...
GALERKIN APPROXIMATION FOR A SEMI LINEAR PARABOLIC PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS
(Universidad Católica del Norte, Departamento de Matemáticas, 2004)
Strong solutions for stochastic nonlinear nonlocal parabolic equations
(2010)
In this article we investigate the existence and uniqueness of strong solutions to the initial-boundary value problem with homogeneous boundary conditions for a stochastic nonlinear parabolic equation of nonlocal type with ...
An Adaptive Time Step Procedure for a Parabolic Problem with Blow-up
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 2001-04)
The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
(Academic Press Inc., 2000-11-20)
In this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exactly the same asymptotic dynamics as the continuous problem. (C) 2000 ...
The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
(Academic Press Inc., 2000-11-20)
In this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exactly the same asymptotic dynamics as the continuous problem. (C) 2000 ...
On Global Attractors for a Class of Parabolic Problems
(Natural Sciences Publishing Corp-nsp, 2014-03-01)
This paper is devoted to study the existence of global attractor in H-0(1)(Omega) and uniform bounds of it in L-infinity(Omega) for a class of parabolic problems with homogeneous boundary conditions wich involves a uniform ...
On global attractors for a class of parabolic problems
(2014-03-01)
This paper is devoted to study the existence of global attractor in H0 1 (Ω) and uniform bounds of it in L∞(Ω) for a class of parabolic problems with homogeneous boundary conditions wich involves a uniform strongly elliptic ...
On Global Attractors for a Class of Parabolic Problems
(Natural Sciences Publishing Corp-nsp, 2014)