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Self-similar asymptotics of solutions to heat equation with inverse square potential

Self-similar asymptotics of solutions to heat equation with inverse square potential We show that the large-time behavior of solutions to the Cauchy problem for the linear heat equation with the inverse square potential is described by explicit self-similar solutions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Self-similar asymptotics of solutions to heat equation with inverse square potential

Journal of Evolution Equations , Volume 13 (1) – Mar 1, 2013

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Springer Basel
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-012-0169-8
Publisher site
See Article on Publisher Site

Abstract

We show that the large-time behavior of solutions to the Cauchy problem for the linear heat equation with the inverse square potential is described by explicit self-similar solutions.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Mar 1, 2013

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