Summability and existence results for nonlinear parabolic equations

In this paper we study the summability of the solutions and of their gradients for a class of nonlinear parabolic equations. We show how it is related to the summability of the datum f which belongs to L r ( 0 , T ; L q ( Ω ) ) , r ∈ [ 1 , + ∞ ] , q ∈ [ 1 , + ∞ ] .

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Veröffentlicht in:	Nonlinear analysis 2009-08, Vol.71 (3), p.978-990
Hauptverfasser:	Boccardo, Lucio, Porzio, Maria Michaela, Primo, Ana
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Nonlinear parabolic equations Partial differential equations Regularity of the solutions Sciences and techniques of general use Sequences, series, summability
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Beschreibung
Zusammenfassung:	In this paper we study the summability of the solutions and of their gradients for a class of nonlinear parabolic equations. We show how it is related to the summability of the datum f which belongs to L r ( 0 , T ; L q ( Ω ) ) , r ∈ [ 1 , + ∞ ] , q ∈ [ 1 , + ∞ ] .
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2008.11.066