On the stability of the heat equation with an initial condition

被引：5
|
作者：
Jung, Soon-Mo [1 ]
机构：
[1] Hongik Univ, Math Sect, Coll Sci & Technol, Sejong 339701, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
新加坡国家研究基金会;
关键词：
HYERS-ULAM STABILITY; LINEAR-DIFFERENTIAL EQUATIONS; 1ST-ORDER;
D O I：
10.1186/1029-242X-2013-475
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the generalized Hyers-Ulam stability of the heat equation with an initial condition {Delta u(x, t) = u(t)(x, t) (for all x is an element of R-n and t > 0), u(x, 0) = g(x) (for all x is an element of R-n) in a class of twice continuously differentiable functions under certain conditions.
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页数：6
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