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Parabolic equations with discontinuous nonlinearities

Published online by Cambridge University Press:  17 April 2009

Giuseppina Barletta
Giuseppina Barletta
Affiliation:
Dipartimento di Matematica, Università di Messina, contrade Papardo, salita Sperone n.31, 98166 Sant' Agata (ME), Italy e-mail: barletta@dipmat.unime.it Dipartimento di Informatica, Matematica, Elettronica e Trasporti, Università di Reggio Calabria, Via Graziella (Feo di Vito), 89100 Reggio Calabria, Italy e-mail: barletta@ing.unirc.it
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Abstract

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In this paper we deal with the homogeneous Cauchy-Dirichlet problem for a class of parabolic equations with either Carathéodory or discontinuous nonlinear terms. We then present an application and explicitly point out an existence result for a differential inclusion, which can be applied to the classical Stefan problem.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 2 , April 2001 , pp. 219 - 228
Copyright
Copyright © Australian Mathematical Society 2001

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