Open Access
2011 Homoclinic and heteroclinic orbits for a semilinear parabolic equation
Marek Fila, Eiji Yanagida
Tohoku Math. J. (2) 63(4): 561-579 (2011). DOI: 10.2748/tmj/1325886281

Abstract

We study the existence of connecting orbits for the Fujita equation with a critical or supercritical exponent. For certain ranges of the exponent we prove the existence of heteroclinic connections from positive steady states to zero and a homoclinic orbit with respect to zero.

Citation

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Marek Fila. Eiji Yanagida. "Homoclinic and heteroclinic orbits for a semilinear parabolic equation." Tohoku Math. J. (2) 63 (4) 561 - 579, 2011. https://doi.org/10.2748/tmj/1325886281

Information

Published: 2011
First available in Project Euclid: 6 January 2012

zbMATH: 1252.35157
MathSciNet: MR2872956
Digital Object Identifier: 10.2748/tmj/1325886281

Subjects:
Primary: 35K55
Secondary: 35B05 , 35B40 , 35V05

Keywords: ancient solutions , heteroclinic orbits , Homoclinic orbit , self-similar solutions , stationary solutions

Rights: Copyright © 2011 Tohoku University

Vol.63 • No. 4 • 2011
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