The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian

The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian

We consider the Cauchy problem for a Schrödinger equation with an Hamiltonian depending also on the time variable and that may vanish at t = 0. We find optimal Levi conditions for well-posedness in Sobolev and Gevrey spaces.

Bibliographic Details
Main Author: Massimo Cicognani
Format: Article
Language:English
Published: University of Bologna 2014-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Degenerate Schrödinger equations
Cauchy problem
necessity of Levi conditions
Gevrey well-posedness
Online Access:http://mathematicalanalysis.unibo.it/article/view/4717
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spelling doaj-377704e4b7d642faa2dea2246dc4ceff2020-11-24T23:16:55ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292014-12-0151314410.6092/issn.2240-2829/47174321The Cauchy Problem for Schrödinger Equations with Time-Dependent HamiltonianMassimo Cicognani0University of BolognaWe consider the Cauchy problem for a Schrödinger equation with an Hamiltonian depending also on the time variable and that may vanish at t = 0. We find optimal Levi conditions for well-posedness in Sobolev and Gevrey spaces.http://mathematicalanalysis.unibo.it/article/view/4717Degenerate Schrödinger equationsCauchy problemnecessity of Levi conditionsGevrey well-posedness
collection DOAJ
language English
format Article
sources DOAJ
author Massimo Cicognani
spellingShingle Massimo Cicognani
The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian
Bruno Pini Mathematical Analysis Seminar
Degenerate Schrödinger equations
Cauchy problem
necessity of Levi conditions
Gevrey well-posedness
author_facet Massimo Cicognani
author_sort Massimo Cicognani
title The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian
title_short The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian
title_full The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian
title_fullStr The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian
title_full_unstemmed The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian
title_sort cauchy problem for schrödinger equations with time-dependent hamiltonian
publisher University of Bologna
series Bruno Pini Mathematical Analysis Seminar
issn 2240-2829
publishDate 2014-12-01
description We consider the Cauchy problem for a Schrödinger equation with an Hamiltonian depending also on the time variable and that may vanish at t = 0. We find optimal Levi conditions for well-posedness in Sobolev and Gevrey spaces.
topic Degenerate Schrödinger equations
Cauchy problem
necessity of Levi conditions
Gevrey well-posedness
url http://mathematicalanalysis.unibo.it/article/view/4717
work_keys_str_mv AT massimocicognani thecauchyproblemforschrodingerequationswithtimedependenthamiltonian
AT massimocicognani cauchyproblemforschrodingerequationswithtimedependenthamiltonian
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