Asymptotic Behavior for a Class of Logarithmic Wave Equations with Linear Damping

Qingying Hu, Hongwei Zhang, Gongwei Liu

Type: Article

Publication Date: 2017-06-07

Citations: 21

DOI: https://doi.org/10.1007/s00245-017-9423-3

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Locations

Applied Mathematics & Optimization - View

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+ PDF Chat	Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping	2021	Jorge Ferreira Erhan Pışk ̇ın Nazlı Irkıl C. A. Raposo
+	General energy decay estimates for a variable coefficient viscoelastic semilinear wave equation with logarithmic source term and acoustic boundary conditions	2024	Jianghao Hao Tong Zhang
+	Asymptotic behavior for a class of logarithmic wave equations with Balakrishnan-Taylor damping, nonlinear weak damping and strong linear damping	2023	Лей Ма Yunlong Gao
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+	Well‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity	2022	Hang Ding Jun Zhou
+	Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	2021	Hang Ding Jun Zhou
+	Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities	2024	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	General stability and exponential growth of nonlinear variable coefficient wave equation with logarithmic source and memory term	2022	Long Yan Lili Sun
+	Sufficient condition for logarithmic nonlinearity in nonlinear evolution equations	2020	Tae Gab Ha
+	Asymptotic stability of a quasi-linear viscoelastic Kirchhoff plate equation with logarithmic source and time delay	2023	Zayd Hajjej Sun‐Hye Park

Works Cited by This (28)

Action	Title	Year	Authors
+	Decay estimates for some semilinear damped hyperbolic problems	1988	Alain Haraux Enrique Zuazua
+	Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity	2015	Hua Chen Shuying Tian
+	Global existence, uniform decay and exponential growth for a class of semi-linear wave equation with strong damping	2012	Hua Chen Gongwei Liu
+	Some remarks on the wave equations with nonlinear damping and source terms	1996	Ryo Ikehata
+	Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms	1994	Vladimir Georgiev Grozdena Todorova
+	Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping	1990	Enrique Zuazua
+	Global existence, asymptotic behavior and blow-up of solutions for coupled Klein–Gordon equations with damping terms	2010	Wenjun Liu
+	Saddle points and instability of nonlinear hyperbolic equations	1975	L. E. Payne D. H. Sattinger
+	One-dimensional Klein–Gordon equation with logarithmic nonlinearities	2008	Konrad Bartkowski Przemysław Górka
+	Decay of solutions of the wave equation with a local nonlinear dissipation	1996	Mitsuhiro Nakao