摘要
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.
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.
作者
Mohamed Karimou Gazibo
Mohamed Karimou Gazibo(Laboratoire de Mathématiques Fondamentales et Applications (LMFA), Département de Mathématiques, Ecole Normale Supérieure, Université Abdou Moumouni de Niamey, Niamey, Niger)