The geometry of solutions to a segregation problem for nondivergence systems

L. A. Caffarelli; A. L. Karakhanyan; Fang Hua Lin

doi:10.1007/s11784-009-0110-0

The geometry of solutions to a segregation problem for nondivergence systems

L. A. Caffarelli, A. L. Karakhanyan, Fang Hua Lin

Mathematics

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

Abstract

Segregation systems and their singular perturbations arise in different areas: particle anihilation, population dynamics, material sciences. In this article we study the elliptic and parabolic limits of a nonvariational singularly perturbed problem. Existence and regularity properties of solutions and their limits are obtained.

Original language	English (US)
Pages (from-to)	319-351
Number of pages	33
Journal	Journal of Fixed Point Theory and Applications
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/s11784-009-0110-0
State	Published - Aug 2009

Keywords

Free boundary
Nondivergence problem
Segregation of species
Singular point

ASJC Scopus subject areas

Modeling and Simulation
Geometry and Topology
Applied Mathematics

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10.1007/s11784-009-0110-0

Cite this

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title = "The geometry of solutions to a segregation problem for nondivergence systems",

abstract = "Segregation systems and their singular perturbations arise in different areas: particle anihilation, population dynamics, material sciences. In this article we study the elliptic and parabolic limits of a nonvariational singularly perturbed problem. Existence and regularity properties of solutions and their limits are obtained.",

keywords = "Free boundary, Nondivergence problem, Segregation of species, Singular point",

author = "Caffarelli, {L. A.} and Karakhanyan, {A. L.} and Lin, {Fang Hua}",

year = "2009",

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AU - Caffarelli, L. A.

AU - Karakhanyan, A. L.

AU - Lin, Fang Hua

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N2 - Segregation systems and their singular perturbations arise in different areas: particle anihilation, population dynamics, material sciences. In this article we study the elliptic and parabolic limits of a nonvariational singularly perturbed problem. Existence and regularity properties of solutions and their limits are obtained.

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KW - Nondivergence problem

KW - Segregation of species

KW - Singular point

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The geometry of solutions to a segregation problem for nondivergence systems

Abstract

Keywords

ASJC Scopus subject areas

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