Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

Priyanjana M.N. Dharmawardane; Tohru Nakamura; Shuichi Kawashima

doi:10.3792/pjaa.87.99

Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

Priyanjana M.N. Dharmawardane, Tohru Nakamura, Shuichi Kawashima

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Abstract

The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L²-Sobolev space.

Original language	English
Pages (from-to)	99-102
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	87
Issue number	6
DOIs	https://doi.org/10.3792/pjaa.87.99
Publication status	Published - Jun 2011

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity",

abstract = "The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L2-Sobolev space.",

author = "Dharmawardane, {Priyanjana M.N.} and Tohru Nakamura and Shuichi Kawashima",

year = "2011",

month = jun,

doi = "10.3792/pjaa.87.99",

language = "English",

volume = "87",

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AU - Dharmawardane, Priyanjana M.N.

AU - Nakamura, Tohru

AU - Kawashima, Shuichi

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Y1 - 2011/6

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AB - The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L2-Sobolev space.

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JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

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Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

Abstract

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