Global existence of solutions for the semilinear Klein-Gordon equation with a time-dependent variable coefficient

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Analytical solutions for the fractional Klein-Gordon equation

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.

Global Solutions for a Semilinear 2d Klein-gordon Equation with Exponential Type Nonlinearity

We prove the existence and uniqueness of global solutions for a Cauchy problem associated to a semilinear Klein-Gordon equation in two space dimension. Our result is based on an interpolation estimate with a sharp constant obtained by a standard variational method. Accepted for publication: ... AMS Subject Classifications: ..., ..., ... 1 2 S. Ibrahim, M. Majdoub, and N. Masmoudi

Existence time for solutions of semilinear different speed Klein-Gordon system with weak decay data

A 2−2| log 2|−α (α = 2 if d ≥ 3, α = 3 if d = 2) result is obtained for the existence time of solutions of semilinear different speed Klein-Gordon system with weakly decaying Cauchy data, of size 2, in certain circumstances of nonlinearity. keywords: Weakly decaying Cauchy data, Existence time, Klein-Gordon equations with different speeds. Subject class: 35L70 1 Statement of the Main Result We ...

wavelet solutions of the klein-gordon equation

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