Journal article
Global regularity of parabolic p-Laplace equations on convex domains
Nonlinear analysis, Vol.169, pp.118-129
04/2018
DOI: 10.1016/j.na.2017.12.004
Abstract
We show the global regularity of the nonhomogeneous parabolic p-Laplace equations on convex domains. Starting with the local up-to-boundary Lipschitz regularity for the homogeneous equation, we derive the global a priori estimates via Vitali covering coupling with p-harmonic approximation. Moreover, the exponents in the a priori estimates come from the intrinsic scaling.
Details
- Title: Subtitle
- Global regularity of parabolic p-Laplace equations on convex domains
- Creators
- Huilian Jia - School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, ChinaLihe Wang - Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, China
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis, Vol.169, pp.118-129
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.na.2017.12.004
- ISSN
- 0362-546X
- eISSN
- 1873-5215
- Language
- English
- Date published
- 04/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984083894102771
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