Global existence to the initial–boundary value problem for a system of semilinear wave equations

Mitsuhiro Nakao

doi:10.1016/j.na.2016.08.019

Global existence to the initial–boundary value problem for a system of semilinear wave equations

Mitsuhiro Nakao

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We prove the global existence of finite energy and H₂ solutions for a system of nonlinear wave equations in a bounded domain. One equation of the system has a dissipative term, while another equation has no dissipative mechanism. To derive the delicate a priori estimates we employ a ‘loan’ method.

Original language	English
Pages (from-to)	233-257
Number of pages	25
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	146
DOIs	https://doi.org/10.1016/j.na.2016.08.019
Publication status	Published - 2016 Nov 1
Externally published	Yes

Keywords

Energy decay
Global existence
Nonlinear dissipation
Nonlinear wave equation

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2016.08.019

Cite this

@article{be92c92a4be7466ab654c2ad48cad5c0,

title = "Global existence to the initial–boundary value problem for a system of semilinear wave equations",

abstract = "We prove the global existence of finite energy and H2 solutions for a system of nonlinear wave equations in a bounded domain. One equation of the system has a dissipative term, while another equation has no dissipative mechanism. To derive the delicate a priori estimates we employ a {\textquoteleft}loan{\textquoteright} method.",

keywords = "Energy decay, Global existence, Nonlinear dissipation, Nonlinear wave equation",

author = "Mitsuhiro Nakao",

year = "2016",

month = nov,

day = "1",

doi = "10.1016/j.na.2016.08.019",

language = "English",

volume = "146",

pages = "233--257",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Global existence to the initial–boundary value problem for a system of semilinear wave equations

AU - Nakao, Mitsuhiro

PY - 2016/11/1

Y1 - 2016/11/1

N2 - We prove the global existence of finite energy and H2 solutions for a system of nonlinear wave equations in a bounded domain. One equation of the system has a dissipative term, while another equation has no dissipative mechanism. To derive the delicate a priori estimates we employ a ‘loan’ method.

AB - We prove the global existence of finite energy and H2 solutions for a system of nonlinear wave equations in a bounded domain. One equation of the system has a dissipative term, while another equation has no dissipative mechanism. To derive the delicate a priori estimates we employ a ‘loan’ method.

KW - Energy decay

KW - Global existence

KW - Nonlinear dissipation

KW - Nonlinear wave equation

UR - http://www.scopus.com/inward/record.url?scp=84988615363&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84988615363&partnerID=8YFLogxK

U2 - 10.1016/j.na.2016.08.019

DO - 10.1016/j.na.2016.08.019

M3 - Article

AN - SCOPUS:84988615363

SN - 0362-546X

VL - 146

SP - 233

EP - 257

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Global existence to the initial–boundary value problem for a system of semilinear wave equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this