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.

引用

页数：17

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