The fundamental solution K of a third- order operator L is explictly determined and various properties of K are analyzed. As an example of applications, the explicit solution of the initial-value problem with arbitrary data is deduced. The operator L models numerous dissipative phenomena and the properties of K imply precise estimates also for nonlinear situations.
Fundamental solution of a dissipative operator / D'Acunto, Berardino; DE ANGELIS, Monica; Renno, Pasquale. - In: RENDICONTO DELL'ACCADEMIA DELLE SCIENZE FISICHE E MATEMATICHE. - ISSN 0370-3568. - STAMPA. - (4) 64:(1997), pp. 295-314.
Fundamental solution of a dissipative operator.
D'ACUNTO, BERARDINO;DE ANGELIS, MONICA;RENNO, PASQUALE
1997
Abstract
The fundamental solution K of a third- order operator L is explictly determined and various properties of K are analyzed. As an example of applications, the explicit solution of the initial-value problem with arbitrary data is deduced. The operator L models numerous dissipative phenomena and the properties of K imply precise estimates also for nonlinear situations.File in questo prodotto:
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