Existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity

Mitsuhiro Nakao

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We prove the existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity. To derive the required estimates of solutions we employ a 'loan' method.

Original languageEnglish
Pages (from-to)3940-3970
Number of pages31
JournalJournal of Differential Equations
Volume255
Issue number11
DOIs
Publication statusPublished - 2013 Dec 1
Externally publishedYes

Fingerprint

Exterior Problem
Klein-Gordon Equation
Global Solution
Dissipation
Nonlinearity
Derivatives
Derivative
Estimate

Keywords

  • Derivative nonlinearity
  • Energy decay
  • Global solutions
  • Klein-Gordon equation
  • Nonlinear dissipation

ASJC Scopus subject areas

  • Analysis

Cite this

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abstract = "We prove the existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity. To derive the required estimates of solutions we employ a 'loan' method.",
keywords = "Derivative nonlinearity, Energy decay, Global solutions, Klein-Gordon equation, Nonlinear dissipation",
author = "Mitsuhiro Nakao",
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KW - Energy decay

KW - Global solutions

KW - Klein-Gordon equation

KW - Nonlinear dissipation

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