奇异半线性抛物方程初值问题解的存在性与不存在性,Blow-up问题及解的无限增长性

数学物理学报 ›› 1997, Vol. 17 ›› Issue (4): 439-446.

奇异半线性抛物方程初值问题解的存在性与不存在性,Blow-up问题及解的无限增长性

蹇素雯¹, 杨凤藻²

1. 云南师范大学数学系昆明 650092;
2. 云南工业大学基础部昆明 650041

收稿日期:1996-05-06 修回日期:1996-10-28 出版日期:1997-08-26 发布日期:1997-08-26

On the Existence and Nonexistence of Solution,Blow-up Problem and The Infinite Growing up Problem of Solution for Initial Problem of Semilinear Parabolic Eguation With Singular Cofficient

Jian Suwen¹, Yang Fengzao²

1. Department of mathematics Yunnan Normal University;
2. Division of Basic Courses Yannan Polytechnical University

Received:1996-05-06 Revised:1996-10-28 Online:1997-08-26 Published:1997-08-26

摘要/Abstract

摘要： 该文研究一类奇异半线性抛物方程初值问题的非负局部解存在与不存在的条件,解的BloW-Up问题及当t↑∞时解的无限增长性.

关键词: 奇异半线性抛物方程, 算子半群, Blow-up问题

Abstract: In this paper we study that existence and nonexistence of solution, Blow-up problem and the infinite growing up problem If solution for the initial prolem of semilinear para bolic eguation with singular coefficient.

Key words: Semilinear para bolic cguation with singular coefficient, Semigroup of operator blow-up problem

蹇素雯, 杨凤藻. 奇异半线性抛物方程初值问题解的存在性与不存在性,Blow-up问题及解的无限增长性[J]. 数学物理学报, 1997, 17(4): 439-446.

Jian Suwen, Yang Fengzao. On the Existence and Nonexistence of Solution,Blow-up Problem and The Infinite Growing up Problem of Solution for Initial Problem of Semilinear Parabolic Eguation With Singular Cofficient[J]. Acta mathematica scientia,Series A, 1997, 17(4): 439-446.