Zobrazeno 1 - 10
of 38 768
pro vyhledávání: '"KLEIN-Gordon equation"'
Autor:
Feng REN1 renfeng7548739@163.com
Publikováno v:
Thermal Science. 2024, Vol. 28 Issue 4B, p3361-3365. 5p.
Autor:
Lin, Robert
We introduce an embedding of the Klein-Gordon equation into a pair of coupled equations that are first-order in time. The existence of such an embedding is based on a positivity property exhibited by the Klein-Gordon equation. These coupled equations
Externí odkaz:
http://arxiv.org/abs/2410.04666
In the present paper, we show that the global solution to (partially) damped Klein-Gordon equation on the three dimensional Euclidean space with small data decays exponentially. The key ingredients in the proof are: Morawetz-type estimates for soluti
Externí odkaz:
http://arxiv.org/abs/2412.05987
Autor:
Shpakivskyi, Vitalii
The infinite-dimensional family of exact solutions of the Klein--Gordon equation is constructed by the hypercomplex method.
Externí odkaz:
http://arxiv.org/abs/2412.05414
In this article, a hybridizable discontinuous Galerkin (HDG) method is proposed and analyzed for the Klein-Gordon equation with local Lipschitz-type non-linearity. {\it A priori} error estimates are derived, and it is proved that approximations of th
Externí odkaz:
http://arxiv.org/abs/2411.15572
Autor:
Côte, Raphaël, Du, Haiming
We are interested in the nonlinear damped Klein-Gordon equation \[ \partial_t^2 u+2\alpha \partial_t u-\Delta u+u-|u|^{p-1}u=0 \] on $\mathbb{R}^d$ for $2\le d\le 5$ and energy sub-critical exponents $2 < p < \frac{d+2}{d-2}$. We construct multi-soli
Externí odkaz:
http://arxiv.org/abs/2411.11703
This paper presents an investigation into the high-order asymptotic expansion for 2D and 3D cubic nonlinear Klein-Gordon equations in the non-relativistic limit regime. There are extensive numerical and analytic results concerning that the solution o
Externí odkaz:
http://arxiv.org/abs/2411.13132
Publikováno v:
Journal of the Institute of Science & Technology / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi. Dec2024, Vol. 14 Issue 4, p1717-1730. 14p.
In this study, we replace the standard partial derivatives in the Klein-Gordon equation with Dunkl derivatives and obtain exact analytical solutions for the eigenvalues and eigenfunctions of the Dunkl-Klein-Gordon equation in higher dimensions. We ap
Externí odkaz:
http://arxiv.org/abs/2409.12655
We construct the causal (forward/backward) propagators for the massive Klein-Gordon equation perturbed by a first order operator which decays in space but not necessarily in time. In particular, we obtain global estimates for forward/backward solutio
Externí odkaz:
http://arxiv.org/abs/2409.01134