Article citationsMore>>

Bénilan, Ph. and Touré, H. (1995) Sur l’équation générale u_t = a(., u, φ(., u)_x)_x + v dans L¹. I. Etude du problème stationnaire. In: Evolution Equations (Baton Rouge, LA, 1992), Dekker, New York, 35-62.

has been cited by the following article:

• TITLE: Entropy Formulation for Triply Nonlinear Degenerate Elliptic-Parabolic-Hyperbolic Equation with Zero-Flux Boundary Condition

  AUTHORS: Mohamed Karimou Gazibo

  KEYWORDS: Degenerate Elliptic-Parabolic Hyerbolic Equation, Zero-Flux Boundary Condition, Structure Condition, Entropy Formulation, Multi-Step Approximation, Nonlinear Semigroup Theories, Integral and Mild Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.4, April 23, 2023

  ABSTRACT: In this note, we investigated existence and uniqueness of entropy solution for triply nonlinear degenerate parabolic problem with zero-flux boundary condition. Accordingly to the case of doubly nonlinear degenerate parabolic hyperbolic equation, we propose a generalization of entropy formulation and prove existence and uniqueness result without any structure condition.