Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term-Reference-Cited by-同舟云学术

Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term

Published:2009-07-17 Issue:7 Volume:33 Page:831-844
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Runzhang Xu

Funder

National Natural Science Foundation of China

Natural Science Foundation of Heilongjiang Province

Science and Technology Foundation of Education Office of Heilongjiang Province

Foundational Science Foundation of Harbin Engineering University

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/mma.1196/fullpdf

Reference36 articles.

1. Lp-Abschätzungen und klassiche Lösungen für nichtlineare Wellengeichungen I;Pecher;Mathematische Zeitschrift,1976

2. Instability and non-existence of global solutions to nonlinear wave equations of the form Putt=−Au+F(u);Levine;Transactions of the American Mathematical Society,1974

3. Sadle points and instability of nonlinear hyperbolic equations;Payne;Israel Journal of Mathematics,1975

4. C.B.M.S;Strauss,1989

Cited by 35 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a Class of Stochastic Damped Wave Equation;Electronic Journal of Applied Mathematics;2024-03-21

2. Global well-posedness of solutions for 2-D Klein–Gordon equations with exponential nonlinearity;Journal of Mathematical Physics;2024-02-01

3. On Behavior of Solutions for Nonlinear Klein–Gordon Wave Type Models with a Logarithmic Nonlinearity and Multiple Time-Varying Delays;Axioms;2023-12-30

4. On the solution behavior of a nonlinear time-fractional Klein–Gordon equation: Theoretical study and numerical validation;Communications in Nonlinear Science and Numerical Simulation;2023-10

5. Global solutions and blow-up for Klein–Gordon equation with damping and logarithmic terms;Applicable Analysis;2023-09-10