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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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