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On Global Attractors for a Class of Parabolic Problems
(Natural Sciences Publishing Corp-nsp, 2014)
Tug-of-War games and parabolic problems with spatial and time dependence
(Khayyam Publishing, 2014)
In this paper we use probabilistic arguments (Tug-of-War games) to obtain existence of viscosity solutions to a parabolic problem of the form {K(x,t)(Du)ut(x,t)=12⟨D2uJ(x,t)(Du),J(x,t)(Du)(x,t)⟩u(x,t)=F(x)in ΩT,on Γ, where ...
The blow-up problem for a semilinear parabolic equation with a potential
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2007)
Let Omega be a bounded smooth domain in R-N. We consider the problem u(t) = Delta u + V(x)u(P) in Omega x [0, T), with Dirichlet boundary conditions u = 0 on partial derivative Omega x [0, T) and initial datum u (x, 0) = ...
Adaptive numerical schemes for a parabolic problem with blow-up
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 2002-10)
Semilinear parabolic problems in thin domains with a highly oscillatory boundary
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear ...
Semilinear parabolic problems in thin domains with a highly oscillatory boundary
(Pergamon-Elsevier B.V. Ltd, 2011-10-01)
In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear ...
Dynamics of parabolic equations via the finite element method I. Continuity of the set of equilibria
(2016-11-05)
In this paper we study the dynamics of parabolic semilinear differential equations with homogeneous Dirichlet boundary conditions via the discretization of finite element method. We provide an appropriate functional setting ...
Convergence of optimal control problems governed by second kind parabolic variational inequalities
(Springer, 2013-07)
We consider a family of optimal control problems where the control variable is given by a boundary condition of Neumann type. This family is governed by parabolic variational inequalities of the second kind. We prove the ...
A Posteriori Error Estimates for Lumped Mass Finite Element Method for Linear Parabolic Problems Using Elliptic Reconstruction
(TAYLOR & FRANCIS INC, 2017)
We study residual-based a posteriori error estimates for both the spatially discrete and the fully discrete lumped mass finite element approximation for parabolic problems in a bounded convex polygonal domain in (2). In ...
NUMERICAL QUENCHING FOR A SEMILINEAR PARABOLIC EQUATION WITH A POTENTIAL AND GENERAL NONLINEARITIES
(Universidad Católica del Norte, Departamento de Matemáticas, 2008)