一类高维半线性热传导方程的唯一性与稳定性

数学季刊 ›› 2004, Vol. 19 ›› Issue (4): 416-421.

一类高维半线性热传导方程的唯一性与稳定性

College of Basic Science, Henan Agricultural University, Zhengzhou 450002, China

收稿日期:2003-12-17 出版日期:2004-12-30 发布日期:2024-03-06
作者简介:CAO Dian-li(1963-),male,native of Xinxiang,Henan,an associate professor of Henan Agricul tural University,engages in PDE.

Uniqueness and Stability of Solution for Semi-liner Heat-conduction Equationin Higher Dimension

College of Basic Science, Henan Agricultural University, Zhengzhou 450002, China

Received:2003-12-17 Online:2004-12-30 Published:2024-03-06
About author:CAO Dian-li(1963-),male,native of Xinxiang,Henan,an associate professor of Henan Agricul tural University,engages in PDE.

摘要/Abstract

摘要： This paper deals with the uniqueness of solution to a class of semi-linear heat-conduction equation in higher dimension on the basis of references [1] and [2]. The main results in this paper are as follows: the solution of problem (A) is unique and stable if it exists.

关键词: smooth , , , function, mixed , , , problem, initial , , , condition, boundary , , , condition, free
term

Abstract: This paper deals with the uniqueness of solution to a class of semi-linear heat-conduction equation in higher dimension on the basis of references [1] and [2]. The main results in this paper are as follows: the solution of problem (A) is unique and stable if it exists.

Key words: smooth , , , function, mixed , , , problem, initial , , , condition, boundary , , , condition, free
term

中图分类号:

O175.24

曹殿立, 梁保松, 叶耀军. 一类高维半线性热传导方程的唯一性与稳定性[J]. 数学季刊, 2004, 19(4): 416-421.

CAO Dian-li, LIANG Bao-song, YE Yao-jun. Uniqueness and Stability of Solution for Semi-liner Heat-conduction Equationin Higher Dimension[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4): 416-421.

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