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July 2008 Dynamical approximation of internal transition layers in a bistable nonlocal reaction-diffusion equation via the averaged mean curvature flow
Koji Okada
Hiroshima Math. J. 38(2): 263-313 (July 2008). DOI: 10.32917/hmj/1220619461

Abstract

A singular perturbation problem for a scalar bistable nonlocal reaction-diffusion equation is treated. It is rigorously proved that the layer solutions of this nonlocal reaction-diffusion equation converge to solutions of the averaged mean curvature flow on a finite time interval as the singular perturbation parameter tends to zero.

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Koji Okada. "Dynamical approximation of internal transition layers in a bistable nonlocal reaction-diffusion equation via the averaged mean curvature flow." Hiroshima Math. J. 38 (2) 263 - 313, July 2008. https://doi.org/10.32917/hmj/1220619461

Information

Published: July 2008
First available in Project Euclid: 5 September 2008

zbMATH: 1156.35008
MathSciNet: MR2437575
Digital Object Identifier: 10.32917/hmj/1220619461

Subjects:
Primary: 35B25, 35K57

Rights: Copyright © 2008 Hiroshima University, Mathematics Program

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Vol.38 • No. 2 • July 2008
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