Alt, H.W. and Luckhaus, S. (1983) Quasilinear Elliptic-Parabolic Differential Equations. Mathematische Zeitschrift, 183, 311-341.
https://doi.org/10.1007/BF01176474

has been cited by the following article:

• TITLE: Existence of Entropy Solution for Degenerate Parabolic-Hyperbolic Problem Involving p(x)-Laplacian with Neumann Boundary Condition

  AUTHORS: Mohamed Karimou Gazibo, Duni Yegbonoma Frédéric Zongo

  KEYWORDS: Lebesgue and Sobolev Spaces with Variable Exponent, Weak Solution, Entropy Solution, Degenerate Parabolic-Hyperbolic Equation, Conservation Law, Leray Lions Type Operator, Neumann Boundary Condition, Existence Result

  JOURNAL NAME: Applied Mathematics, Vol.15 No.7, July 19, 2024

  ABSTRACT: We consider a strongly non-linear degenerate parabolic-hyperbolic problem with p(x)-Laplacian diffusion flux function. We propose an entropy formulation and prove the existence of an entropy solution.