Article citationsMore>>

Andreianov, B. and Wittbold, P. (2012) Convergence of Approximate Solutions to an Elliptic-Parabolic Equation without Structure Condition. Nonlinear Differential Equations and Applications, 19, 695-717.
https://doi.org/10.1007/s00030-011-0148-8

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.