Given a parabolic cylinder Omega x( 0, T), where Omega is a bounded domain of R-N, we consider IBV problems involving equations of the type b(u)(t) - Delta(p)u = mu where b is a increasing C-1-function and mu is a diffuse measure. We prove the existence and uniqueness of a renormalized solution for this class of nonlinear parabolic equations.
Renormalized solutions of nonlinear parabolic equations with diffuse measure data / Dominique, Blanchard; Petitta, Francesco; Hicham, Redwane. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 141:3-4(2013), pp. 601-635. [10.1007/s00229-012-0585-7]
Renormalized solutions of nonlinear parabolic equations with diffuse measure data
PETITTA, FRANCESCO;
2013
Abstract
Given a parabolic cylinder Omega x( 0, T), where Omega is a bounded domain of R-N, we consider IBV problems involving equations of the type b(u)(t) - Delta(p)u = mu where b is a increasing C-1-function and mu is a diffuse measure. We prove the existence and uniqueness of a renormalized solution for this class of nonlinear parabolic equations.File allegati a questo prodotto
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