Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 2000; 37(2): 303-316

Printed June 1, 2000

Copyright © The Korean Mathematical Society.

The Cauchy problem for a degenerate parabolic equation with absorption

Jin Ho Lee

Sookmyung Women's University

Abstract

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The Cauchy problem for degenerate parabolic equations with absorption is studied. We prove the existence of a fundamental solution. Also a Harnack type inequality is established and the existence and uniqueness of initial trace for nonnegative solutions is shown.

Keywords: initial trace, degenerate parabolic equation, absorption, Harnack inequality

MSC numbers: 53B65, 35K55, 35K65

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