带有非局部 Laplace 算子的饱和 Schrödinger-Klein-Gordon 方程的概自守动力学

Abstract

Abstract:

To the best of the authors' knowledge, almost no literature focuses on the almost automorphic dynamics to Schrödinger or Klein-Gordon equations. This paper gives some results on almost automorphic weak solutions to a nonlocal Laplacian saturating Schrödinger-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.

Key words: Schr?dinger, Klein-Gordon, Galerkin method, Fourier series, Picard iteration

CLC Number:

O175.26

Zhang Tianwei, Li Yongkun. Almost Automorphic Dynamics of Nonlocal Laplacian Saturating Schrödinger-Klein-Gordon Equations[J].Acta mathematica scientia,Series A, 2024, 44(2): 326-353.

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Almost Automorphic Dynamics of Nonlocal Laplacian Saturating Schrödinger-Klein-Gordon Equations

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