A One-Dimensional Parabolic Problem Arising in Studies of Some Free Boundary Problems

被引：0
|
作者：
V. A. Solonnikov
A. Fasano
机构：
[1] Steklov Mathematical Institute,St.Petersburg Department of the
[2] University of Florence,Department of Mathmatics
来源：
Journal of Mathematical Sciences | 2003年 / 115卷 / 1期
关键词：
Boundary Condition; Free Boundary; Boundary Problem; Neumann Boundary; Neumann Boundary Condition;
D O I：
10.1023/A:1022616300191
中图分类号：
学科分类号：
摘要：
The paper is concerned with a one-dimensional parabolic problem in a domain bounded by two lines x = 0 and x = kt, k > 0, (x, t) ∈ ℝ2, with the Neumann boundary condition on the line x = 0 and with dynamic boundary condition on the line x = kt. For the solution of this problem, a coercive estimate in a weighted Hölder norm is obtained. It is shown that this estimate can be useful for the analysis of parabolic free boundary problems. Bibliography: 7 titles.
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页码：2066 / 2075
页数：9
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