Uniqueness of solution in a rectangular domain of an evolution dam problem with heterogeneous coefficients
Date
2018-10-11
Authors
Zaouche, Elmehdi
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider an evolution dam problem with heterogeneous coefficients of type α(x1) (ux2 + χ)x2 - χt = 0 in a bounded rectangular domain of ℝ2. We establish uniqueness of the solution for this problem. Our proofs are based on the test function by using the method of doubling variables.
Description
Keywords
Evolution dam problem, Method of doubling variables, Uniqueness
Citation
Zaouche, E. (2018). Uniqueness of solution in a rectangular domain of an evolution dam problem with heterogeneous coefficients. <i>Electronic Journal of Differential Equations, 2018</i>(169), pp. 1-17.
Rights
Attribution 4.0 International