# American Institute of Mathematical Sciences

February & March  2004, 11(2&3): 731-743. doi: 10.3934/dcds.2004.11.731

## Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains

 1 Department of Mathematics, University of Ulsan, Ulsan 680-749, South Korea 2 Graduate School of Mathematics, Kyushu University, Fukuoka 810-8560, Japan

Received  January 2003 Revised  March 2004 Published  June 2004

We prove the existence of global solutions to the initial-boundary value problem for the Kirchhoff type quasilinear wave equations in exterior domains with a localized weakly nonlinear dissipation.
Citation: Jeong Ja Bae, Mitsuhiro Nakao. Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains. Discrete & Continuous Dynamical Systems - A, 2004, 11 (2&3) : 731-743. doi: 10.3934/dcds.2004.11.731
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