The uniqueness of the solution of a nonlinear heat conduction problem under Holder's continuity condition

被引：1

作者：

Krizek, Michal ^{[1
]}

机构：

[1] Czech Acad Sci, Inst Math, Zitna 25, CZ-11567 Prague 1, Czech Republic

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 103卷

关键词：

Weak solution; Nonlinear heat conduction; Heat transfer coefficient; Holder continuity;

D O I：

10.1016/j.aml.2020.106214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a stationary nonlinear heat conduction problem in which heat conductivities depend on temperature. It is known that such problem need not have a unique solution even when the conductivity coefficients are continuous. In this paper we prove that for 1/2-Holder continuous coefficients the uniqueness of the weak solution is guaranteed. (C) 2020 Published by Elsevier Ltd.

引用

页数：6

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