On a Mixed Problem for a Coupled Nonlinear System
Date
1997-03-06
Authors
Clark, M. R.
Lima, O. A.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this article we prove the existence and uniqueness of solutions to the mixed problem associated with the nonlinear system
utt − M (∫Ω |∇u|2 dx)∆u + |u|ρ u + θ = ƒ
θt − ∆θ + ut = g
where M is a positive real function, and ƒ and g are known real functions.
Description
Keywords
Mixed problem, Nonlinear system, Weak solutions, Uniqueness
Citation
Clark, M. R., & Lima, O. A. (1997). On a mixed problem for a coupled nonlinear system. <i>Electronic Journal of Differential Equations, 1997</i>(06), pp. 1-11.
Rights
Attribution 4.0 International