Hölder regularity for weak solutions to divergence form degenerate quasilinear parabolic systems |
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| Authors: | Yan Dong |
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| Affiliation: | Department of Applied Mathematics, Key Laboratory of Space Applied Physics and Chemistry, Ministry of Education, Northwestern Polytechnical University, Xi?an, Shaanxi, 710129, China |
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| Abstract: | ![]()
In this paper, we establish Hölder regularity of weak solutions to the diagonal divergence form degenerate quasilinear parabolic system related to Hörmander type vector fields by deriving a parabolic Poincaré inequality and the higher integrability of gradients of weak solutions. |
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| Keywords: | Quasilinear parabolic system Hö rmander type vector fields VMO function Hö lder regularity Natural growth condition |
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