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Hölder–Zygmund estimates for degenerate parabolic systems.
Hölder–Zygmund estimates for degenerate parabolic systems.
- Source :
-
Journal of Differential Equations . Apr2014, Vol. 256 Issue 7, p2423-2448. 26p. - Publication Year :
- 2014
-
Abstract
- We consider energy solutions of the inhomogeneous parabolic p-Laplacian system . We show in the case that if the right hand side g is locally in , then u is locally in , where is the 1-Hölder–Zygmund space. This is the borderline case of the Calderón–Zygmund theory. We provide local quantitative estimates. We also show that finer properties of g are conserved by Du, e.g. Hölder continuity. Moreover, we prove a new decay for gradients of p-caloric solutions for all . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 256
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 94305478
- Full Text :
- https://doi.org/10.1016/j.jde.2014.01.009