Existence of Solutions for a Variational Unilateral System
Date
2002-02-21
Authors
Clark, Marcondes R.
Lima, Osmundo A.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this work the authors study the existence of weak solutions of the nonlinear unilateral mixed problem associated to the inequalities
utt - M(|∇u|2) ∆u + θ ≥ f,
θt - ∆θ + ut ≥ g,
where f, g, M are given real-valued functions with M positive.
Description
Keywords
Weak solutions, Variational unilateral nonlinear problem, Galerkin method, Penalization method
Citation
Clark, M. R., & Lima, O. A. (2002). Existence of solutions for a variational unilateral system. <i>Electronic Journal of Differential Equations, 2002</i>(22), pp. 1-18.