Estimates on the Fundamental Solution to Heat Flows With Uniformly Elliptic Coefficients
作者:
James R. Norris,
Daniel W. Stroock,
期刊:
Proceedings of the London Mathematical Society
(WILEY Available online 2016)
卷期:
Volume s3-62,
issue 2
页码: 373-402
ISSN:0024-6115
年代: 2016
DOI:10.1112/plms/s3-62.2.373
出版商: Oxford University Press
数据来源: WILEY
摘要:
We obtain estimates, from above and below, on the fundamental solution to the Cauchy initial value problem for parabolic equations having uniformly elliptic coefficients. We impose minimal regularity requirements on the coefficients. The estimates are expressed in terms of an energy functional associated with the coefficients.
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