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Article

Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium

Abstract

By choosing convenient test functions and using the method of doubling variables, we prove the uniqueness of the solution to a nonlinear evolution dam problem in an arbitrary heterogeneous porous medium of \(\mathbb{R}^n\) (\(n\in \{2,3\}\)) with an impermeable horizontal bottom.

Details

Original languageEnglish
JournalOpuscula Mathematica
Volume42
Issue number1
Pages5-29
PublisherAGH University of Science and Technology
ISSN1232-9274 · 2300-6919
DOI10.7494/opmath.2022.42.1.5
Publication statusPublished — 1 January 2022

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