The Existence and Behavior of Solutions for Nonlocal Boundary Problems

被引：5
|
作者：
Wang, Yuandi [1 ]
Zheng, Shengzhou [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2009年
关键词：
PARABOLIC EQUATIONS;
D O I：
10.1155/2009/484879
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this work is to investigate the uniqueness and existence of local solutions for the boundary value problem of a quasilinear parabolic equation. The result is obtained via the abstract theory of maximal regularity. Applications are given to some model problems in nonstationary radiative heat transfer and reaction-diffusion equation with nonlocal boundary flux conditions. Copyright (C) 2009 Y. Wang and S. Zheng.
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页数：17
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