Regularity properties of Schrodinger equations in vector-valued spaces and applications

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Date

2019

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Walter de Gruyter Gmbh

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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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Schrodinger equations, positive operators, semigroups of operators, local solutions

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0

WoS Q

Q3

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Q3

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Volume

31

Issue

1

Start Page

149

End Page

166