EXISTENCE OF GLOBAL SOLUTIONS FOR THE KIRCHHOFF-TYPE QUASILINEAR WAVE EQUATION IN EXTERIOR DOMAINS WITH A HALF-LINEAR DISSIPATION-Reference-Cited by-同舟云学术

EXISTENCE OF GLOBAL SOLUTIONS FOR THE KIRCHHOFF-TYPE QUASILINEAR WAVE EQUATION IN EXTERIOR DOMAINS WITH A HALF-LINEAR DISSIPATION

Published:2004 Issue:2 Volume:58 Page:373-391
ISSN:1340-6116
Container-title:Kyushu Journal of Mathematics
language:en
Short-container-title:Kyushu J. Math.

Author:

NAKAO Mitsuhiro

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/kyushujm/58/2/58_2_373/_pdf

Reference10 articles.

1. [1] J. J. Bae and M. Nakao. Existence problem for the Kirchhoff type wave equation in exterior domains with some localized weakly nonlinear dissipation. Disc. Cont. Dynam. Sys. to appear.

2. Exact Controllability, Stabilization and Perturbations for Distributed Systems

3. Global existence and energy decay of small solutions to the Kirchhoff equation with linear dissipation localized near infinity

4. Global existence of smooth solutions to the initial–boundary value problem for the quasi-linear wave equation with a localized degenerate dissipation

5. Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations

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