Regularity and scattering for the wave equation with a critical nonlinear damping

Grozdena Todorova, Davut Uğurlu, Borislav Yordanov

Type: Article

Publication Date: 2009-02-01

Citations: 6

DOI: https://doi.org/10.2969/jmsj/06120625

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Locations

Journal of the Mathematical Society of Japan - View
Project Euclid (Cornell University) - View - PDF

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+	Energy decay to the Cauchy problem for a generalised nonlinear Klein-Gordon equation with a nonlinear dissipative term	2011	Mitsuhiro Nakao
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+	Existence of global decaying solutions to the exterior problem for the Klein–Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity	2013	Mitsuhiro Nakao
+	Energy decay for a nonlinear generalized Klein-Gordon equation in exterior domains with a nonlinear localized dissipative term	2012	Mitsuhiro Nakao
+	Global Regularity for Supercritical Nonlinear Dissipative Wave Equations in 3D	2016	Kyouhei Wakasa Borislav Yordanov
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Works Cited by This (25)

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+ PDF Chat	Asymptotics for the nonlinear dissipative wave equation	2002	Tokio Matsuyama
+ PDF Chat	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain
+	Decay and asymptotics for wave equations with dissipative term	2005	Kiyoshi Mochizuki
+	Global well-posedness and scattering for the higher-dimensional energy-critical non-linear Schrodinger equation for radial data	2004	Terence Tao
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon
+ PDF Chat	Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1	2001	Jean-Marc Delort
+	Spacetime bounds for the energy-critical nonlinear wave equation in three spatial dimensions	2006	Terence Tao
+	Regularity Results for Nonlinear Wave Equations	1993	Jalal Shatah Michaël Struwe
+	Regularity and Asymptotic Behavior of the Wave Equation with a Critical Nonlinearity	1990	Manoussos G. Grillakis
+ PDF Chat	Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms	2006	Hideaki Sunagawa