A free boundary problem stemmed from combustion theory. Part 1: Existence, uniqueness and regularity results

被引：14

作者：

Lorenzi, L ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 274卷 / 02期

关键词：

free boundary problems; linearization; analytic semigroups; interpolation spaces; Schauder type estimates; fully nonlinear equations; regularity properties; analyticity;

D O I：

10.1016/S0022-247X(02)00271-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with a free boundary problem, depending on a real parameter lambda, in a infinite strip in R-2, which admits a planar travelling wave solution for every lambda is an element of R. We prove existence, uniqueness and regularity results for the solutions near the travelling wave. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：505 / 535

页数：31

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