Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
Bögelein, Verena (Universität Erlangen-Nürnberg (Alemanya). Department Mathematik)
Duzaar, Frank (Universität Erlangen-Nürnberg (Alemanya). Department Mathematik)

Data:	2011
Resum:	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 ∂t u│- div ɑ ( x, t, D u) = div (│F│p (x,t) - 2 F). The vector-field a is assumed to fulfill a non-standard p(x; t)- growth condition. In particular it is shown that there exists Є > 0 depending only on the structural data such that there holds: │Du│p(·)(1+є) ∈ L1/loc together with a local estimate for the p(·) (1 + ɛ)-energy.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Higher integrability ; Degenerate parabolic systems ; Non-standard growth ; Condition ; Parabolic p-Laplacean
Publicat a:	Publicacions matemàtiques, Vol. 55, Núm. 1 (2011) , p. 201-250, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/217248
DOI: 10.5565/PUBLMAT_55111_10

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