Exponential Energy Decay for Damped Klein–Gordon Equation with Nonlinearities of Arbitrary Growth
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Publication:3104533
DOI10.1080/03605302.2010.534684zbMath1243.35122arXiv1001.0209OpenAlexW1963792784MaRDI QIDQ3104533
Slim Ibrahim, Kenji Nakanishi, Lassaad Aloui
Publication date: 14 December 2011
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.0209
Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71)
Related Items (18)
Existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity ⋮ On the existence time of local solutions for critical semilinear Schrödinger equations in Sobolev spaces ⋮ Energy decay rates for solutions of the wave equation with linear damping in exterior domain ⋮ Stabilization of the critical semilinear Klein-Gordon equation in compact space ⋮ Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation ⋮ The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation ⋮ On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold ⋮ Energy decay for a nonlinear generalized Klein-Gordon equation in exterior domains with a nonlinear localized dissipative term ⋮ Stabilization of two strongly coupled hyperbolic equations in exterior domains ⋮ Stabilization of the critical semilinear wave equation with Dirichlet-Neumann boundary condition on bounded domain ⋮ The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime ⋮ Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise ⋮ Energy asymptotics for the strongly damped Klein-Gordon equation ⋮ Time decay estimates for wave equations with transmission and boundary conditions ⋮ Energy decay for linear dissipative wave equations in exterior domains ⋮ Exponential stability for the 2D wave model with localized memory in a past history framework and nonlinearity of arbitrary growth ⋮ On nonlinear Schrödinger equations derived from the nonrelativistic limit of nonlinear Klein-Gordon equations in de Sitter spacetime ⋮ Remarks on the Cauchy problem of Klein-Gordon equations with weighted nonlinear terms
Cites Work
- Unnamed Item
- Unnamed Item
- Scattering for the two-dimensional energy-critical wave equation
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
- Saddle points and instability of nonlinear hyperbolic equations
- Oscillations of concentration effects in semilinear dispersive wave equations
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
- Double logarithmic inequality with a sharp constant
- GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL DEFOCUSING NONLINEAR WAVE EQUATION FOR SPHERICALLY SYMMETRIC DATA
- Nonlinear Schrödinger evolution equations
- Microlocal defect measures
- Semi-linear wave equations
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Time decay for the nonlinear Klein-Gordon equation
- Decay and scattering of solutions of a nonlinear relativistic wave equation
- Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations
- Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations
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