The Cauchy problem for a degenerate parabolic equation with absorption
Bull. Korean Math. Soc. 2000 Vol. 37, No. 2, 303-316
Jin Ho Lee
Sookmyung Women's University
Abstract : 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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