Title: Semilinear Hamiltonian Schroedinger systems

Authors: Luca Fanelli, Sandra Lucente, Eugenio Montefusco

Addresses: Departamento de Matematicas, Universidad del Pais Vasco, apartado 644, 48080 Bilbao, Spain. ' Dipartimento di Matematica, Universita degli Studi di Bari, via E. Orabona 2, 70100 Bari, Italy. ' Dipartimento di Matematica, Sapienza Universita di Roma, piazzale A. Moro 5, 00185 Roma, Italy

Abstract: In this paper we investigate on local and global existence for some semilinear Schroedinger systems having conservation of the energy and masses. Moreover we presents some blowing up examples for 2 x 2 systems.

Keywords: NLS; Hamiltonian systems; local existence; global existence; blow-up solution; semilinear Schroedinger systems; energy conservation.

DOI: 10.1504/IJDSDE.2011.042938

International Journal of Dynamical Systems and Differential Equations, 2011 Vol.3 No.4, pp.401 - 422

Published online: 24 Jan 2015 *

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