Higher integrability for parabolic systems with non-standard growth and degenerate diffusions

Bögelein V, Duzaar F (2011)

Publication Type: Journal article

Publication year: 2011

Journal

Publicacions Matematiques

Book Volume: 55

Pages Range: 201-250

Journal Issue: 1

URI: http://www.mat.uab.es/pubmat/volums/navegador/volum_id:89#

DOI: 10.5565/PUBLMAT_55111_10

Abstract

The aim of this paper is to establish a Meyer's type higher integrability result for weak solutions of possibly degenerate parabolic systems of the type ∂tu - div a(x; t;Du) = div - |F|p^(x;t)-2F F The vector-éld a is assumed to fulfill a non-standard p(x; t)- growth condition. In particular it is shown that there exists ε > 0 depending only on the structural data such that there holds: |Du|^p(·) (1+ε) ∈ Lloc ¹; together with a local estimate for the p(·)(1 + ε)-energy.

Authors with CRIS profile

Verena Anna Maria Bögelein Naturwissenschaftliche Fakultät Frank Duzaar Lehrstuhl für Partial Differential Equations

How to cite

APA:

Bögelein, V., & Duzaar, F. (2011). Higher integrability for parabolic systems with non-standard growth and degenerate diffusions. Publicacions Matematiques, 55(1), 201-250. https://doi.org/10.5565/PUBLMAT_55111_10

MLA:

Bögelein, Verena, and Frank Duzaar. "Higher integrability for parabolic systems with non-standard growth and degenerate diffusions." Publicacions Matematiques 55.1 (2011): 201-250.

BibTeX: Download