The Cauchy problem for a class of nonlinear degenerate parabolic-hyperbolic equations

• 作 者: Hua Chen Jinpeng Zhan Xin Hu
• 机 构: SchoolofMathematicsandStatisticsandComputationalScienceHubeiKeyLaboratory
• 出 处: 中国科学:数学英文版
• 发表日期: 2019年5期
• 关键词: parabolic-hyperbolic equations energy METHODS VANISHING VISCOSITY METHODS
• 基金项目: supported by National Natural Science Foundation of China(Grant Nos.11631011 and 11626251).

In this article, we prove a general existence theorem for a class of nonlinear degenerate parabolichyperbolic equations. Since the regions of parabolicity and hyperbolicity are coupled in a way that depends on the solution itself, there is almost no hope