MR2126326
Bae, Jeong Ja
Jeong Ja BAE
Global Existence and Decay for Kirchhoff Type Wave Equation with Boundary and Localized Dissipations in Exterior Domains
Funkcialaj Ekvacioj. Serio Internacia
47
2004
453--477
http://fe.math.kobe-u.ac.jp/FE/FullPapers/47-3/47_453.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2126326
In this paper we prove the existence of global $H^2$-solutions and energy decay of small amplitude of the Kirchhoff type wave equation with linear localized dissipation and two types of boundary conditions in an exterior domain. Subsequently, we also consider the same problem with weakly nonlinear dissipation.
Global existence of $H^2$-solutions, Energy decay, Exterior domain, Kirchhoff type wave equation.
35L05, 35L70, 35L20.
47-453
2004
Global Existence and Decay for Kirchhoff Type Wave Equation with Boundary and Localized Dissipations in Exterior Domains
BAE, Jeong Ja
Jeong Ja BAE
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