Singular perturbation problem in boundary/fractional combustion

被引：2

作者：

Petrosyan, Arshak ^{[1
]}

Shi, Wenhui ^{[2
]}

Sire, Yannick ^{[3
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Univ Bonn, Math Inst, Endenicher Allee 62, D-53115 Bonn, Germany

[3] Univ Aix Marseille, Inst Math Marseille, CMI, Technopole Chateau Gombert, Marseille, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 138卷

关键词：

Fractional/boundary reaction-diffusion problem; Singular perturbation problem; Uniform estimates; FREE-BOUNDARY PROBLEM; ELLIPTIC-EQUATIONS; REGULARITY; LIMIT;

D O I：

10.1016/j.na.2015.12.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by a nonlocal free boundary problem, we study uniform properties of solutions to a singular perturbation problem for a boundary-reaction-diffusion equation, where the reaction term is of combustion type. This boundary problem is related to the fractional Laplacian. After an optimal uniform Holder regularity is shown, we pass to the limit to study the free boundary problem it leads to. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：346 / 368

页数：23

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