Critical exponent for the semilinear wave equation with time-dependent damping

Jian Zhai, Kenji Nishihara, Jiayun Lin

Type: Article

Publication Date: 2012-08-01

Citations: 88

DOI: https://doi.org/10.3934/dcds.2012.32.4307

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Discrete and Continuous Dynamical Systems - View

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+	A blow-up result for a nonlinear wave equation with damping and vanishing initial energy in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>	2005	Yong Zhou
+	On the critical nonlinear damped wave equation with large initial data	2007	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	Large time behavior and Lp−Lq estimate of solutions of 2-dimensional nonlinear damped wave equations	2004	Takafumi Hosono Takayoshi Ogawa
+	Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption	2006	Ryo Ikehata Kenji Nishihara Huijiang Zhao
+	Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption	2005	Kenji Nishihara Huijiang Zhao
+	Higher order energy decay rates for damped wave equations with variable coefficients	2009	Petronela Radu Grozdena Todorova Borislav Yordanov