Regularity properties of Schrodinger equations in vector-valued spaces and applications
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Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter Gmbh
Abstract
In this paper, regularity properties and Strichartz type estimates for solutions of the Cauchy problem for linear and nonlinear abstract Schrodinger equations in vector-valued function spaces are obtained. The equation includes a linear operator A defined in a Banach space E, in which by choosing E and A, we can obtain numerous classes of initial value problems for Schrodinger equations, which occur in a wide variety of physical systems.
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Keywords
Schrodinger equations, positive operators, semigroups of operators, local solutions
Turkish CoHE Thesis Center URL
Citation
0
WoS Q
Q3
Scopus Q
Q3
Source
Volume
31
Issue
1
Start Page
149
End Page
166