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Hölder–Zygmund estimates for degenerate parabolic systems.

Hölder–Zygmund estimates for degenerate parabolic systems.

Authors :
Schwarzacher, Sebastian
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