The Cauchy problem for nonlocal abstract Schrodinger equations and applications

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istinad üçün kopyala

Shakhmurov V. B.

ANALYSIS AND MATHEMATICAL PHYSICS, vol.11, no.4, 2021 (SCI-Expanded)

• Nəşrin Növü: Article / Article
• Cild: 11 Say: 4
• Nəşr tarixi: 2021
• Doi nömrəsi: 10.1007/s13324-021-00574-5
• jurnalın adı: ANALYSIS AND MATHEMATICAL PHYSICS
• Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
• Adres: Yox

Qısa məlumat

Here, the Cauchy problem for linear and nonlinear nonlocal Schrodinger equations are studied. The equation involves a convolution integral operators with a general kernel operator functions whose Fourier transform are operator functions defined in a Hilbert space H together with some growth conditions. By assuming enough smoothness on the initial data and the operator functions, the local and global existence and uniqueness of solutions are established. We can obtain a different classes of nonlocal Schr odinger equations by choosing the space H and linear operators, which occur in a wide variety of physical systems