Electronic Journal of Differential Equations, Vol. 2009(2009), No. 86, pp. 1-6. Title: Regularity estimates in Besov spaces for initial-value problems of general parabolic equations Author: Ming Xu (Jinan Univ., Guangzhou, China) Abstract: In this paper we give regularity estimates for solutions to initial-value problem of general parabolic equations with data in adapted Besov spaces characterized by heat kernels. Submitted December 2, 2008. Published July 10, 2009. Math Subject Classifications: 35K30, 42B35. Key Words: Regularity; adapted Besov spaces.