Uniqueness of solution in a rectangular domain of an evolution dam problem with heterogeneous coefficients

In this article, we consider an evolution dam problem with heterogeneous coefficients of type $a(x_1)(u_{x_2}+\chi)_{x_2}-\chi_t=0$ in a bounded rectangular domain of $\mathbb{R}^2$. We establish uniqueness of the solution for this problem. Our proofs are based on the test function by using...

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Bibliographic Details
Main Author: Elmehdi Zaouche
Format: Article
Language:English
Published: Texas State University 2018-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/169/abstr.html