The qualitative analysis of the initial value problem P related to a non linear third order parabolic equation typical of diffusive models is discussed. Some basic properties of the the fundamental solution of a related linear operator are determined and are applied to an equivalent integro differential formulation of the problem. By the fixed point theorem, existence and uniqueness results are obtained.
Existence and uniqueness results for a class of non linear models / DE ANGELIS, Monica; Maio, Alfonso; Mazziotti, Enrico. - STAMPA. - 8:(2008), pp. 191-202. (Intervento presentato al convegno Mathematical Physics Models and Engineering Sciences Studi in onore di Pasquale Renno a cura di Pasquale Renno tenutosi a Napoli nel 22-23 giugno 2006).
Existence and uniqueness results for a class of non linear models
DE ANGELIS, MONICA;MAIO, ALFONSO;MAZZIOTTI, ENRICO
2008
Abstract
The qualitative analysis of the initial value problem P related to a non linear third order parabolic equation typical of diffusive models is discussed. Some basic properties of the the fundamental solution of a related linear operator are determined and are applied to an equivalent integro differential formulation of the problem. By the fixed point theorem, existence and uniqueness results are obtained.File | Dimensione | Formato | |
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