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) (Omega)), r is an element of [1, + infinity], q is an element of [1, + infinity]. (C) 2008 Elsevier Ltd. All rights reserved.
Summability and existence results for nonlinear parabolic equations / Boccardo, Lucio; Porzio, Maria Michaela; Ana, Primo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 71:3-4(2009), pp. 978-990. [10.1016/j.na.2008.11.066]
Summability and existence results for nonlinear parabolic equations
BOCCARDO, Lucio;PORZIO, Maria Michaela;
2009
Abstract
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) (Omega)), r is an element of [1, + infinity], q is an element of [1, + infinity]. (C) 2008 Elsevier Ltd. All rights reserved.File allegati a questo prodotto
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