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GLOBAL SOLUTIONS OF QUASILINEAR SYSTEMS OF KLEIN–GORDON EQUATIONS IN 3D
GLOBAL SOLUTIONS QUASILINEAR SYSTEMS KLEIN–GORDON EQUATIONS 3D
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2014/4/3
We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stab...
Classical Conservative Properties of Five Difference Schemes for Coupled Klein-Gordon-Schr ?dinger Equations
Klein-Gordon-Schr膐dinger equations difference schemes conservation
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2012/8/7
In this paper we compare the classical conservative properties of 痸e
di甧rence schemes applied to the coupled Klein-Gordon-Schr膐dinger equations in the
quantum physics, and investigate the numerical ...
Error Anal Ysis of Some MultiI-Symplectic Scheme for Klein-Gordon-SchringerEquation
Error analysis conservation laws multi-symplectic scheme Klein-Gordon-Schr膐dinger equation.
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2012/8/7
In this paper, we study the multi-symplectic method for the Klein-
Gordon-Schr膐dinger equation. Besides conserving the multi-symplectic structure of
the equation, the multi-symplectic method is also...
Subcritical and supercritical Klein-Gordon-Maxwell equations without Ambrosetti-Rabinowitz condition
Klein-Gordon-Maxwell equations Ambrosetti-Rabinowitz condition Analysis of PDEs
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2012/6/19
In this article we present some results on the existence of positive and ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. We introduce a general nonlinearity with subcritical a...
（n+1）维耦合非线性Klein-Gordon方程组的行波解
孤立波解 周期波解 扭波及反扭波解 动力系统理论
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2011/10/20
利用动力系统方法，研究了一类（n+1）维耦合非线性Klein-Gordon方程组的行波解,获得了其包含孤立波、周期波、扭波及反扭波解等形式行波解的精确显式表达式，并给出了其存在的参数条件。
Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions
Global existence nonlinear system wave and Klein-Gordon equations four space-time dimensions
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2011/9/14
Abstract: In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permit...
Coverings over Tori and Topological Approach to Klein's Resolvent Problem
Tori and Topological Klein's Resolvent Problem Algebraic Geometry
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2011/9/14
Abstract: This work answers the question what coverings over a topological torus can be induced from a covering over a space of dimension $k$. The answer to this question is then applied in algebro-ge...
流形上的散度公式的反例--关于Klein瓶的曲面积分和三重积分
微积分学 拓扑学 向量场
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2015/6/4
用符号逻辑的方式,证明在无穷多个任意参数曲面坐标系[包括单连通曲面坐标系和复连通曲面坐标系]散度公式的存在,将曲面积分和三重积分推广到无穷多个任意参数曲面坐标系,实现任意曲面积分和任意空间区域三重积分,实现流形上的散度公式和流形积分,实现向量场(电场、磁场、流体场、引力场等)和数量场在任意自由空间区域的积分计算.
Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation
threshold for blowup one-dimensional nonlinear Klein-Gordon equation
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2011/1/18
We study dynamics near the threshold for blowup in the focusing nonlinear Klein-Gordon equa-
tion utt −uxx +u−|u|2 u = 0 on the line. Using mixed numerical and analytical methods we find
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Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
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2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Stabilizers of Subspaces under Similitudes of the Klein Quadric, and Automorphisms of Heisenberg Algebras
Klein quadric Grassmann space automorphism orbit nilpotent Lie algebra Heisenberg algebra
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2011/1/17
We determine the groups of automorphisms and their orbits for nilpotent Lie algebras of
class 2 and small dimension, over arbitrary fields (including the characteristic 2 case).
Semiclassical limit for the nonlinear Klein Gordon equation in bounded domains
Klein Gordon Equation Semiclassical Limit Variational Methods Nonlinear Equations
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2011/2/28
We are interested to the existence of standing waves for the nonlinear Klein Gordon equation "2 + W′( ) = 0 in a bounded domain D.
Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces
Existence electrostatic Klein-Gordon-Maxwell systems fully inhomogeneous spaces
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2011/2/22
We prove existence and uniform bounds for electrostatic Klein-Gordon-Maxwell systems in the inhomogeneous context of a compact Riemannian manifold when the mass potential, balanced by the phase, is sm...
A variational iterative method for solving the linear and nonlinear Klein-Gordon equations
Variational iterative method Linear and Nonlinear Klein-Gordon equations
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2010/9/26
In this article, variational iterative method (VIM) is presented as an alternative method for solving the linear and nonlinear Klein Gordon equations. The method is demonstrated by several physical mo...
Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption
Global dynamics above the ground state the nonlinear Klein-Gordon equation
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2010/11/8
We extend our previous result on the focusing cubic Klein-Gordon equation in three dimensions to the non-radial case, giving a complete classification of global dynamics of all solutions with energy a...