@Article{Attia2022, author = "Attia, Messaouda Ben and Zaouche, Elmehdi and Bousselsal, Mahmoud", title = "Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium", journal = "Opuscula Math.", year = "2022", volume = "42", number = "1", pages = "5--29", doi = "https://doi.org/10.7494/OpMath.2022.42.1.5", url = "https://doi.org/10.7494/OpMath.2022.42.1.5", 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.", keywords = "test function, method of doubling variables, nonlinear evolution dam problem, heterogeneous porous medium, uniqueness", issn = "1232-9274" }