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2007 On a class of critical heat equations with an inverse square potential
Pigong Han, Zhaoxia Liu
Differential Integral Equations 20(1): 27-50 (2007).

Abstract

In this paper, we study a class of parabolic equations with critical Sobolev exponents and Hardy terms. Using Moser-type iteration, we characterize the asymptotic behavior of solutions at singular points. By means of critical point theory and the potential well method, we prove both global existence and finite-time blow-up depending on the initial datum.

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Pigong Han. Zhaoxia Liu. "On a class of critical heat equations with an inverse square potential." Differential Integral Equations 20 (1) 27 - 50, 2007.

Information

Published: 2007
First available in Project Euclid: 21 December 2012

zbMATH: 1200.35030
MathSciNet: MR2282824

Subjects:
Primary: 35K55
Secondary: 35B40 , 35K20 , 47J30 , 58E05

Rights: Copyright © 2007 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.20 • No. 1 • 2007
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