The geometry of solutions to a segregation problem for nondivergence systems

Aram Karakhanyan; Luis Caffarelli; Fanghua Lin

doi:10.1007/s11784-009-0110-0

The geometry of solutions to a segregation problem for nondivergence systems

Aram Karakhanyan, Luis Caffarelli, Fanghua Lin

School of Mathematics

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

Abstract / Description of output

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
Pages (from-to)	319-351
Journal	Journal of Fixed Point Theory and Applications
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/s11784-009-0110-0
Publication status	Published - Aug 2009

Keywords / Materials (for Non-textual outputs)

35B25
Segregation of species
free boundary
nondivergence problem
singular point

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10.1007/s11784-009-0110-0

THE GEOMETRY OF SOLUTIONS TO A SEGREGATION PROBLEM FOR NON-DIVERGENCE SYSTEMSAccepted author manuscript, 779 KB

http://link.springer.com/article/10.1007%2Fs11784-009-0110-0

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.",

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author = "Aram Karakhanyan and Luis Caffarelli and Fanghua Lin",

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T1 - The geometry of solutions to a segregation problem for nondivergence systems

AU - Karakhanyan, Aram

AU - Caffarelli, Luis

AU - Lin, Fanghua

PY - 2009/8

Y1 - 2009/8

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.

AB - 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.

KW - 35B25

KW - Segregation of species

KW - free boundary

KW - nondivergence problem

KW - singular point

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U2 - 10.1007/s11784-009-0110-0

DO - 10.1007/s11784-009-0110-0

M3 - Article

SN - 1661-7738

VL - 5

SP - 319

EP - 351

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 2

ER -

The geometry of solutions to a segregation problem for nondivergence systems

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Keywords / Materials (for Non-textual outputs)

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