Global Existence of Solutions to One-Phase Stefan Problems for Semilinear Parabolic Equations.

被引：7

作者：

Aiki, Toyohiko ^{[1
]}

Imai, Hitoshi ^{[2
]}

机构：

[1] Gifu Univ, Fac Educ, Dept Math, Gifu 50111, Japan

[2] Univ Tokushima, Fac Engn, Tokushima 770, Japan

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1998年 / 175卷 / 01期

关键词：

Initial Data; Parabolic Equation; Free Boundary; Existence Result; Global Existence;

D O I：

10.1007/BF01783691

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider one-phase Stefan problems for the equation u(i) = u(xx) + u(1 + alpha) (alpha > 0) in one-dimensional space, which have blow-up solutions for a larger initial data. In this paper, the global existence result for our problem is proved by using energy inequalities. More precisely, if alpha > 1 an initial function is sufficiently small, then the free boundary is bounded and vertical bar u(t)vertical bar(infinity)(L) decays in exponential order.

引用

页码：327 / 337

页数：11

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