Partial regularity for parabolic systems with non-standard growth |
| |
Authors: | Frank Duzaar Jens Habermann |
| |
Affiliation: | 1. Department Mathematik, Universit?t Erlangen, Cauerstr. 11, 91058, Erlangen, Germany
|
| |
Abstract: | We study non-linear parabolic systems with non-standard p(z)-growth conditions and establish that the gradient of weak solutions is locally H?lder continuous with H?lder exponent b ? (0,1){beta in (0,1)} with respect to the parabolic metric on an open set of full Lebesgue measure, provided the exponent function p(z) itself is H?lder continuous with exponent β with respect to the parabolic metric. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|