Singular limit problem for some elliptic systems

Yoshihito Oshita

doi:10.1137/060656632

Singular limit problem for some elliptic systems

Yoshihito Oshita

School of Science

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

For the sharp interface problem arising in the singular limit of some elliptic systems, we prove the existence and the nondegeneracy of solutions whose interface is a distorted circle in a two-dimensional bounded domain without any assumption on the symmetry of the domain.

Original language	English
Pages (from-to)	1886-1911
Number of pages	26
Journal	SIAM Journal on Mathematical Analysis
Volume	38
Issue number	6
DOIs	https://doi.org/10.1137/060656632
Publication status	Published - Nov 22 2007

Keywords

Elliptic system
Sharp interface
Singular perturbation

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/060656632

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title = "Singular limit problem for some elliptic systems",

abstract = "For the sharp interface problem arising in the singular limit of some elliptic systems, we prove the existence and the nondegeneracy of solutions whose interface is a distorted circle in a two-dimensional bounded domain without any assumption on the symmetry of the domain.",

keywords = "Elliptic system, Sharp interface, Singular perturbation",

author = "Yoshihito Oshita",

year = "2007",

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AU - Oshita, Yoshihito

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AB - For the sharp interface problem arising in the singular limit of some elliptic systems, we prove the existence and the nondegeneracy of solutions whose interface is a distorted circle in a two-dimensional bounded domain without any assumption on the symmetry of the domain.

KW - Elliptic system

KW - Sharp interface

KW - Singular perturbation

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 6

ER -

Singular limit problem for some elliptic systems

Abstract

Keywords

ASJC Scopus subject areas

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