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

研究成果: Article

抜粋

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.

元の言語	English
ページ（範囲）	99-102
ページ数	4
ジャーナル	Proceedings of the Japan Academy Series A: Mathematical Sciences
巻	87
発行部数	6
DOI	https://doi.org/10.3792/pjaa.87.99
出版物ステータス	Published - 2011 6 1
外部発表	Yes

フィンガープリント

ASJC Scopus subject areas

Mathematics(all)

これを引用

Dharmawardane, P. M. N., Nakamura, T., & Kawashima, S. (2011). Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity. Proceedings of the Japan Academy Series A: Mathematical Sciences, 87(6), 99-102. https://doi.org/10.3792/pjaa.87.99

@article{14490fd1413f425698aa37b664d054bc,

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.",

keywords = "Decay estimate, Global existence, Time-weighted energy method, Viscoelasticity",

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

year = "2011",

month = jun

day = "1",

doi = "10.3792/pjaa.87.99",

language = "English",

volume = "87",

pages = "99--102",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",

publisher = "Japan Academy",

number = "6",

}

TY - JOUR

T1 - Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

AU - Dharmawardane, Priyanjana M N

AU - Nakamura, Tohru

AU - Kawashima, Shuichi

PY - 2011/6/1

Y1 - 2011/6/1

N2 - 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.

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.

KW - Decay estimate

KW - Global existence

KW - Time-weighted energy method

KW - Viscoelasticity

UR - http://www.scopus.com/inward/record.url?scp=79958851321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79958851321&partnerID=8YFLogxK

U2 - 10.3792/pjaa.87.99

DO - 10.3792/pjaa.87.99

M3 - Article

AN - SCOPUS:79958851321

VL - 87

SP - 99

EP - 102

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

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

SN - 0386-2194

IS - 6

ER -

文献にアクセス

10.3792/pjaa.87.99