Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity

Mitsuhiro Nakao

研究成果: Article

7 引用 (Scopus)

抄録

We prove the global existence of the so-called H2 solutions for a nonlinear wave equation with a nonlinear dissipative term and a derivative type nonlinear perturbation. To show the boundedness of the second order derivatives we need a precise energy decay estimate and for this we employ a 'loan' method.

元の言語English
ページ(範囲)2236-2248
ページ数13
ジャーナルNonlinear Analysis, Theory, Methods and Applications
75
発行部数4
DOI
出版物ステータスPublished - 2012 3
外部発表Yes

Fingerprint

Energy Decay
Dissipative Equations
Nonlinear Perturbations
Second-order Derivatives
Decay Estimates
Energy Estimates
Nonlinear Wave Equation
Wave equations
Global Existence
Wave equation
Boundedness
Nonlinearity
Decay
Derivatives
Derivative
Term

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

これを引用

@article{b182cfcc6aca497f9f27ec5dcc6da38f,
title = "Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity",
abstract = "We prove the global existence of the so-called H2 solutions for a nonlinear wave equation with a nonlinear dissipative term and a derivative type nonlinear perturbation. To show the boundedness of the second order derivatives we need a precise energy decay estimate and for this we employ a 'loan' method.",
keywords = "Energy decay, Global existence, Nonlinear dissipation, Nonlinear wave equation",
author = "Mitsuhiro Nakao",
year = "2012",
month = "3",
doi = "10.1016/j.na.2011.10.022",
language = "English",
volume = "75",
pages = "2236--2248",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier Limited",
number = "4",

}

TY - JOUR

T1 - Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity

AU - Nakao, Mitsuhiro

PY - 2012/3

Y1 - 2012/3

N2 - We prove the global existence of the so-called H2 solutions for a nonlinear wave equation with a nonlinear dissipative term and a derivative type nonlinear perturbation. To show the boundedness of the second order derivatives we need a precise energy decay estimate and for this we employ a 'loan' method.

AB - We prove the global existence of the so-called H2 solutions for a nonlinear wave equation with a nonlinear dissipative term and a derivative type nonlinear perturbation. To show the boundedness of the second order derivatives we need a precise energy decay estimate and for this 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=84655169778&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84655169778&partnerID=8YFLogxK

U2 - 10.1016/j.na.2011.10.022

DO - 10.1016/j.na.2011.10.022

M3 - Article

AN - SCOPUS:84655169778

VL - 75

SP - 2236

EP - 2248

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 4

ER -