The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian

Authors

  • Massimo Cicognani University of Bologna

DOI:

https://doi.org/10.6092/issn.2240-2829/4717

Keywords:

Degenerate Schrödinger equations, Cauchy problem, necessity of Levi conditions, Gevrey well-posedness

Abstract

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.

References

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Published

2014-12-30

How to Cite

Cicognani, M. (2014). The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian. Bruno Pini Mathematical Analysis Seminar, 5(1), 31–44. https://doi.org/10.6092/issn.2240-2829/4717

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