Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
HOMOCLINIC AND HETEROCLINIC ORBITS FOR A SEMILINEAR PARABOLIC EQUATION
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Keywords: Homoclinic orbit, heteroclinic orbits, ancient solutions, stationary solutions, self-similar solutions
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2011 Volume 63 Issue 4 Pages 561-579

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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.
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© 2011 by THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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