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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Dissipative higher order hyperbolic equations

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Author(s):
D'Abbicco, Marcello [1] ; Jannelli, Enrico [1]
Total Authors: 2
Affiliation:
[1] Univ Bari, Dept Math, Via E Orabona 4, Bari - Italy
Total Affiliations: 1
Document type: Journal article
Source: Communications in Partial Differential Equations; v. 42, n. 11, p. 1682-1706, 2017.
Web of Science Citations: 1
Abstract

In this paper, we describe a constructive method to find a dissipative term for any generic higher order, homogeneous, possibly weakly, hyperbolic operator , with x(n), n1. 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. (AU)

FAPESP's process: 13/15140-2 - Decay estimates for semilinear hyperbolic equations
Grantee:Marcello Dabbicco
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 14/02713-7 - Decay estimates for semilinear hyperbolic equations
Grantee:Marcello Dabbicco
Support Opportunities: Scholarships in Brazil - Young Researchers