Lateral boundary differentiability of solutions of parabolic equations in nondivergence form

Yongpan Huang; Dongsheng Li; Lihe Wang

doi:10.1016/j.jde.2013.07.047

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Lateral boundary differentiability of solutions of parabolic equations in nondivergence form

Journal article

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Lateral boundary differentiability of solutions of parabolic equations in nondivergence form

Yongpan Huang, Dongsheng Li and Lihe Wang

Journal of Differential Equations, Vol.255(10), pp.3491-3504

11/15/2013

DOI: 10.1016/j.jde.2013.07.047

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Abstract

The lateral boundary differentiability is shown for solutions of parabolic differential equations in nondivergence form under the assumptions that the parabolic boundary satisfies the exterior Dini condition and is punctually C1 differentiable one-sided in t-direction. The classical barrier technique, the maximum principle, the interior Harnack inequality and an iteration procedure are the main analytical tools.

Parabolic equations

Lateral boundary differentiability

Details

Title: Subtitle: Lateral boundary differentiability of solutions of parabolic equations in nondivergence form
Creators: Yongpan Huang - School of Mathematics and Statistics, Xiʼan Jiaotong University, Xiʼan 710049, China
Dongsheng Li - School of Mathematics and Statistics, Xiʼan Jiaotong University, Xiʼan 710049, China
Lihe Wang - Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China
Resource Type: Journal article
Publication Details: Journal of Differential Equations, Vol.255(10), pp.3491-3504
DOI: 10.1016/j.jde.2013.07.047
ISSN: 0022-0396
eISSN: 1090-2732
Publisher: Elsevier Inc
Grant note: 11171266; 11101324 / NSFC
Language: English
Date published: 11/15/2013
Academic Unit: Mathematics
Record Identifier: 9984083866502771

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