Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term
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Publication:3565029
DOI10.1002/MMA.1196zbMath1194.35270OpenAlexW2006591388MaRDI QIDQ3565029
Publication date: 27 May 2010
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1196
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (21)
Unnamed Item ⋮ Unnamed Item ⋮ Global existence, blow-up and asymptotic behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with damping terms ⋮ Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Stability of wave equation with locally viscoelastic damping and nonlinear boundary source ⋮ Global well-posedness of solutions for 2-D Klein–Gordon equations with exponential nonlinearity ⋮ On the solution behavior of a nonlinear time-fractional Klein-Gordon equation: theoretical study and numerical validation ⋮ Qualitative behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with strongly damping terms ⋮ Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions ⋮ Continuous dependence of solutions to the strongly damped nonlinear Klein{Gordon equation ⋮ Global existence and blow up of the solution for nonlinear Klein-Gordon equation with general power-type nonlinearities at three initial energy levels ⋮ Global existence, asymptotic behavior and blow-up of solutions for coupled Klein-Gordon equations with damping terms ⋮ Nonexistence of global solutions to new ordinary differential inequality and applications to nonlineardispersive equations ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with supercritical energy ⋮ A note on finite time blowup for dissipative Klein-Gordon equation ⋮ Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy ⋮ Energy asymptotics for the strongly damped Klein-Gordon equation ⋮ Global existence and blow up of the solution for nonlinear Klein-Gordon equation with variable coefficient nonlinear source term ⋮ Unnamed Item ⋮ The existence and nonexistence of global solutions of the Cauchy problem for Klein-Gordon systems
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