In this paper, we describe a constructive method to find a dissipative term for any generic higher order, homogeneous, possibly weakly, hyperbolic operator~$P(partial_t,partial_x)$, with~$xinR^n$, $ngeq1$. We derive long-time decay estimates for the solution to the related Cauchy problem. We provide an example of application to the theory of elastic waves.
Dissipative higher order hyperbolic equations
D'Abbicco, Marcello
;Jannelli, Enrico
2017-01-01
Abstract
In this paper, we describe a constructive method to find a dissipative term for any generic higher order, homogeneous, possibly weakly, hyperbolic operator~$P(partial_t,partial_x)$, with~$xinR^n$, $ngeq1$. We derive long-time decay estimates for the solution to the related Cauchy problem. We provide an example of application to the theory of elastic waves.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
DAbbicco Jannelli 2017 CPDE Dissipative Higher Order Equations.pdf
non disponibili
Tipologia:
Documento in Versione Editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
535.07 kB
Formato
Adobe PDF
|
535.07 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Postprint DabbiccoJannelli2017 CPDE.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
377.36 kB
Formato
Adobe PDF
|
377.36 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.