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

This is an alternative approach of finding the W^{2, p} estimates of the heat equation in a domain, Ω??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.