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

作     者：Mohamed Karimou Gazibo Duni Yegbonoma Frédéric Zongo Mohamed Karimou Gazibo;Duni Yegbonoma Frédéric Zongo

作者机构：Laboratoire de Mathmatiques Fondamentales et Applications (LMFA) Dpartement de Mathmatiques cole Normale Suprieure Universit Abdou Moumouni de Niamey Niamey Niger Laboratoire Interdisciplinaire de Recherche en Sciences Appliques (LIRSA) cole Normale Suprieure Burkina Faso 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2024年第15卷第7期

页      面：455-463页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：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 

摘      要：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.