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W2, p estimates of the heat equation in Ω⊂ℝn and the restrictions on ∂Ω

✍ Scribed by Gavin Waters; Lihe Wang

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
249 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This is an alternative approach of finding the W^2, p^ estimates of the heat equation in a domain, Ω⊂ℝ^n^. Methods used in (Acta Math. Sin. 2003; 19(2):381–396) are expanded to the case of a bounded domain. As a result, milder restrictions are applied to ∂Ω than previously required by using the classical singular integral approach. Copyright © 2005 John Wiley & Sons, Ltd.

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