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

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

Gavin Waters and Lihe Wang
Mathematical methods in the applied sciences, Vol.29(2), pp.123-156
01/25/2006
DOI: 10.1002/mma.668

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Abstract

This is an alternative approach of finding the W2, p estimates of the heat equation in a domain, Ω⊂ℝn. 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.
boundary regularity geometrical estimates parabolic equations

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