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Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

Kim, Seick

Description

Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on Rⁿ. In particular, in the case when n = 2 they obtained Gaussian upper bound estimates for the heat kernel without imposing further assumption on the coefficients. We study the fundamental solutions of the systems of second order parabolic equations in the divergence form with bounded, measurable, time-independent coefficients,...[Show more]

CollectionsANU Research Publications
Date published: 2008-06-26
Type: Journal article
URI: http://hdl.handle.net/1885/100570
Source: Transactions of the American Mathematical Society
DOI: 10.1090/S0002-9947-08-04485-1

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