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

Regularity properties of Schrödinger equations in vector-valued spaces and applications AbstractIn this paper, regularity properties and Strichartz type estimates for solutions of the Cauchy problem for linear and nonlinear abstract Schrödinger 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 Schrödinger equations, which occur in a wide variety of physical systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

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

Forum Mathematicum , Volume 31 (1): 18 – Jan 1, 2019

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References (29)

Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/forum-2018-0083
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper, regularity properties and Strichartz type estimates for solutions of the Cauchy problem for linear and nonlinear abstract Schrödinger 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 Schrödinger equations, which occur in a wide variety of physical systems.

Journal

Forum Mathematicumde Gruyter

Published: Jan 1, 2019

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