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June 2011 Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity
Priyanjana M. N. Dharmawardane, Tohru Nakamura, Shuichi Kawashima
Proc. Japan Acad. Ser. A Math. Sci. 87(6): 99-102 (June 2011). DOI: 10.3792/pjaa.87.99

Abstract

The aim in this paper is to develop the time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension $n\geq 2$, provided that the initial data are small in the $L^{2}$-Sobolev space.

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Priyanjana M. N. Dharmawardane. Tohru Nakamura. Shuichi Kawashima. "Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity." Proc. Japan Acad. Ser. A Math. Sci. 87 (6) 99 - 102, June 2011. https://doi.org/10.3792/pjaa.87.99

Information

Published: June 2011
First available in Project Euclid: 1 June 2011

zbMATH: 1228.35137
MathSciNet: MR2803889
Digital Object Identifier: 10.3792/pjaa.87.99

Subjects:
Primary: 35L51 , 74D10

Keywords: decay estimate , global existence , time-weighted energy method , viscoelasticity

Rights: Copyright © 2011 The Japan Academy

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Vol.87 • No. 6 • June 2011
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