Existence and uniqueness of energy solution to Klein–Gordon–Schrödinger equations
Existence and uniqueness of energy solution to Klein–Gordon–Schrödinger equations
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DOI：
10.1016/j.jde.2011.09.025
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发表时间：
2012
影响因子：
2.4
通讯作者：
Qihong Shi;Shu Wang;Yong Li
中科院分区：
文献类型：
--
作者：
Qihong Shi;Shu Wang;Yong Li
本文研究R3+1时空中非线性Klein-Gordon-Schrödinger(KGS)方程的初值问题。利用粘性方法，利用紧致性证明了非线性KGS方程整体有限能解的存在性。此外，通过引入积分形式的函数，证明了解的唯一性。
This paper is concerned with the initial value problem for the nonlinear Klein–Gordon–Schrödinger (KGS) equations in R3+1time–space. By using viscous approach, the existence of the global finite-energy solution is established for the nonlinear KGS equations by compactness argument. In addition, the uniqueness of the solution is proved by introducing a function with integral form.