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Fully Nonlinear Parabolic Equations and the Dini Condition
Authors:Xiong Zou  Ya Zhe Chen
Affiliation:(1) Partner Group of MPI for Mathematics in Leipzig at AMSS, Institute of Mathematics, CAS, Beijing 100080, P. R. China E-mail: xzou@amss.ac.cn, CN;(2) School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China E-mail: chenyz@pku.edu.cn, CN
Abstract:Interior regularity results for viscosity solutions of fully nonlinear uniformly parabolic equations under the Dini condition, which improve and generalize a result due to Kovats, are obtained by the use of the approximation lemma. Received November 21, 2000, Accepted April 27, 2001
Keywords:Fully nonlinear uniformly parabolic equations   Viscosity solutions   Dini condition
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