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.
Parabolic equations with discontinuous nonlinearities / Barletta, Giuseppina. - In: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 0004-9727. - 63:02(2001), pp. 219-228. [10.1017/S0004972700019286]
Parabolic equations with discontinuous nonlinearities
BARLETTA, Giuseppina
2001-01-01
Abstract
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.File in questo prodotto:
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