Proyecciones Journal of Mathematics
Vol. 26, No 1, pp. 37-71, May 2007.
Universidad Católica del Norte
Antofagasta - Chile


ABOUT DECAY OF SOLUTION OF THE WAVE EQUATION WITH DISSIPATION *


LUIS CORTES¹, YOLANDA SANTIAGO²

¹UNIVERSIDAD DE ANTOFAGASTA, CHILE

²UNIVERSIDAD NACIONAL MAYOR DE SAN MARCOS, PERÚ

Correspondencia a:

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Abstract
In this work, we consider the problem of existence of global solutions for a scalar wave equation with dissipation. We also study the asymptotic behaviour in time of the solutions. The method used here is based in nonlinear techniques.

Keywords: wave equation, evolution model, decay of solution, asymptotic behaviour.* Support: see

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Acknowledgements
Y.S.S.A was partially suppoted by C.S.I. Estudio No 06140104, Universidad Nacional Mayor de San Marcos (UNMSM-Lima, Perú). The professor L.C.V was partially supported by the Chile Science Foundation Conicyt-Fondecyt Grant 1040067. Also, he was partially supported by a Internal project of the Universidad de Antofagasta (UA- Antofa-gasta, Chile), DIRINV Grant 1319-06 and a Grant of CNPq, PROSUL, (Brasil) "Programa Sul-Americano de Apoio as Atividades de Cooperaqao em Ciencia e Tecnología", respectively.

 

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Luis A. Cortés-Vega
Departamento de matemáticas
Universidad de Antofagasta
Facultad de Ciencias Básicas
Casilla 170 Chile
email : lcortes@uantof.cl

Yolanda S. Santiago-Ayala
Facultad de Ciencias Matemáticas
Universidad Nacional Mayor de San Marcos
Ciudad Universitaria
Avenida Venezuela, cdra. 34 Lima 1 Perú
e-mail : ysantiagoa@unmsm.edu.pe

Received : November 2006. Accepted : March 2007