TY  - JOUR
ID  - Attia2022
LB  - Attia2022
AU  - Attia, Messaouda Ben
AU  - Zaouche, Elmehdi
AU  - Bousselsal, Mahmoud
TI  - Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium
ST  - Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2022
VL  - 42
IS  - 1
SP  - 5
EP  - 29
DO  - https://doi.org/10.7494/OpMath.2022.42.1.5
UR  - https://doi.org/10.7494/OpMath.2022.42.1.5
AB  - 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.
KW  - test function
KW  - method of doubling variables
KW  - nonlinear evolution dam problem
KW  - heterogeneous porous medium
KW  - uniqueness
SN  - 1232-9274
ER  -