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
巻75
発行部数4
DOI
出版物ステータスPublished - 2012 3
外部発表Yes

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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

Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity. / Nakao, Mitsuhiro.

：: Nonlinear Analysis, Theory, Methods and Applications, 巻 75, 番号 4, 03.2012, p. 2236-2248.

研究成果: Article

Nakao, M 2012, 'Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity', Nonlinear Analysis, Theory, Methods and Applications, 巻. 75, 番号 4, pp. 2236-2248. https://doi.org/10.1016/j.na.2011.10.022
Nakao M. Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity. Nonlinear Analysis, Theory, Methods and Applications. 2012 3;75(4):2236-2248. https://doi.org/10.1016/j.na.2011.10.022
Nakao, Mitsuhiro. / Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity. ：: Nonlinear Analysis, Theory, Methods and Applications. 2012 ; 巻 75, 番号 4. pp. 2236-2248.
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