Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary

被引：6
|
作者：
Cortazar, C
Elgueta, M
Rossi, JD
机构：
[1] Univ Catolica, Fac Matemat, Santiago, Chile
[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 37卷 / 02期
关键词：
D O I：
10.1016/S0362-546X(98)00046-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A system of heat equations with nonlinear coupling at the boundary is considered. Assuming that the solution is defined and bounded in a certain small time interval, conditions for the existence of solutions of the equations and the uniqueness of these solutions are proven.
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页码：257 / 267
页数：11
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