DIFFUSION-PROBLEMS WITH A MIXED NONLINEAR BOUNDARY-CONDITION

被引：30

作者：

GARNER, JB

SHIVAJI, R

机构：

[1] Department of Mathematics and Statistics, Mississippi State University, Mississippi State

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 148卷 / 02期

关键词：

D O I：

10.1016/0022-247X(90)90010-D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence results are established for a class of singular diffusion problems with a general nonlinear boundary condition. The proofs are based on a priori bounds for all solutions and a shooting technique applied to a corresponding initial value problem. Various uniqueness results are obtained by assuming either the variables in the diffusion coefficient or in the source term are separable. © 1990.

引用

页码：422 / 430

页数：9