【摘要】 迄今为止,几乎没有学者研究Schr?dinger或Klein-Gordon方程的概自守动力学.该文结合Galerkin方法、Laplace变换、Fourier级数和Picard迭代研究了带有非局部Laplace算子饱和Schr?dinger-Klein-Gordon方程的概自守弱解的一些结果.此外,还考虑了该方程的全局指数收敛性.更多还原

【Abstract】 To the best of the authors’ knowledge,almost no literature focuses on the almost automorphic dynamics to Schr?dinger or Klein-Gordon equations.This paper gives some results on almost automorphic weak solutions to a nonlocal Laplacian saturating Schr?dinger-Klein-Gordon equations by employing a mix of Galerkin method,Laplace transform,Fourier series and Picard iteration.Beyond that,global exponential convergence of the equations is investigated.更多还原