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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/206676
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