Non-hamiltonian Schrödinger systems

Sandra Lucente; Eugenio Montefusco

doi:10.3934/dcdss.2013.6.761

Article Contents

2013, Volume 6, Issue 3: 761-770. Doi: 10.3934/dcdss.2013.6.761

This issue Previous Article Nonautonomous Kolmogorov equations in the whole space: A survey on recent results Next Article Schrödinger type evolution equations with monotone nonlinearity of non-power type

Non-hamiltonian Schrödinger systems

Sandra Lucente^1, and
Eugenio Montefusco^2,

1.
Dipartimento di Matematica, Università degli Studi di Bari, Via Orabona 4, 70125 Bari
2.
Dipartimento di Matematica, Sapienza Università di Roma, Piazzale A. Moro 5, 00185 Roma

Received: March 31, 2010

Revised: October 31, 2010

Published: May 2013

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Abstract

In this paper we study local and global in time existence for the Cauchy Problem of some semilinear Schrödinger systems. In particular we do not assume that the nonlinear term guarantees conservation of charge or energy.

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Mathematics Subject Classification: Primary: 35Q55, 35B40, 35J10.

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References

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