The well-posedness problem of a hyperbolic-parabolic mixed type equation on an unbounded domain

被引：1

作者：

Zhan, Huashui ^{[1
]}

机构：

[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Fujian, Peoples R China

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2019年 / 9卷 / 04期

关键词：

Hyperbolic-parabolic mixed type equation; Unbounded domain; Optimal partially boundary value condition; The weak characteristic function method; 35L65; 35K85; 35R35; ENTROPY SOLUTIONS; CAUCHY-PROBLEM; UNIQUENESS; STABILITY;

D O I：

10.1007/s13324-019-00280-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

To study the well-posedness problem of a hyperbolic-parabolic mixed type equation, the usual boundary value condition is overdetermined. Since the equation is with strong nonlinearity, the optimal partially boundary value condition can not be expressed by Fichera function. By introducing the weak characteristic function method, a different but reasonable partial boundary value condition is found first time, basing on it, the stability of the entropy solutions is established.

引用

页码：1849 / 1864

页数：16

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