Abstract
AbstractIn this paper we establish a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The proof is based on a new intrinsic scaling that involves both the solution and its spatial gradient. It allows to compensate for the different scaling of the system in |u| and |Du|. The result covers the range of parameters $$p>\frac{2n}{n+2}$$
p
>
2
n
n
+
2
and $$0<q\le 1$$
0
<
q
≤
1
.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis
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