Translator Disclaimer
November/December 2009 Very slow convergence to zero for a supercritical semilinear parabolic equation
Christian Stinner
Adv. Differential Equations 14(11/12): 1085-1106 (November/December 2009).

Abstract

We study the asymptotic behavior of nonnegative solutions to the Cauchy problem for a semilinear parabolic equation with a supercritical nonlinearity. It is known that there are initial data such that the corresponding solution decays to zero with an algebraic rate. Furthermore, any algebraic rate which is slower than the self-similar rate occurs as decay rate for some solution. In this paper we prove that the convergence to zero can take place with an "arbitrarily" slow rate, if the initial data are chosen properly.

Citation

Download Citation

Christian Stinner. "Very slow convergence to zero for a supercritical semilinear parabolic equation." Adv. Differential Equations 14 (11/12) 1085 - 1106, November/December 2009.

Information

Published: November/December 2009
First available in Project Euclid: 18 December 2012

zbMATH: 1190.35035
MathSciNet: MR2560869

Subjects:
Primary: 35B40, 35K15, 35K57

Rights: Copyright © 2009 Khayyam Publishing, Inc.

JOURNAL ARTICLE
22 PAGES


SHARE
Vol.14 • No. 11/12 • November/December 2009
Back to Top