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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.)

A CLASSIFICATION FOR WAVE MODELS WITH TIME-DEPENDENT POTENTIAL AND SPEED OF PROPAGATION

Author(s):
Ebert, Marcelo Rempel [1] ; do Nascimento, Wanderley Nunes [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Comp & Math FFCLRP, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP - Brazil
[2] Fed Univ Rio Grande do Sul UFRGS, Dept Pure & Appl Math IME, Agron, Av Bento Goncalves 9500-43-111, BR-91509900 Porto Alegre, RS - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Advances in Differential Equations; v. 23, n. 11-12, p. 847-888, NOV-DEC 2018.
Web of Science Citations: 0
Abstract

In this paper, we study the long time behavior of energy solutions for a class of wave equation with time-dependent potential and speed of propagation. We introduce a classification of the potential term, which clarifies whether the solution behaves like the solution to the wave equation or Klein-Gordon equation. Moreover, the derived linear estimates are applied to obtain global (in time) small data energy solutions for the Cauchy problem to semilinear Klein-Gordon models with power nonlinearity. (AU)

FAPESP's process: 15/23253-7 - Wave equations with time-dependent speed of propagation, mass and dissipation.
Grantee:Wanderley Nunes Do Nascimento
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 17/19497-3 - Asymptotic profile of solutions for some evolution partial differential equations and applications
Grantee:Marcelo Rempel Ebert
Support type: Regular Research Grants