caa a22 4500 606193839 CHVBK 20210128100911.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00030-015-0341-2 doi (NATIONALLICENCE)springer-10.1007/s00030-015-0341-2 Propagation of Gabor singularities for semilinear Schrödinger equations [Elektronische Daten] [Fabio Nicola, Luigi Rodino] We study the propagation of singularities for semilinear Schrödinger equations with quadratic Hamiltonians, in particular for the semilinear harmonic oscillator. We show that the propagation still occurs along the flow of the Hamiltonian field, but for Sobolev regularities in a certain range, in terms of a suitable definition of the global Sobolev-wave front set. Springer Basel, 2015 Time-frequency analysis nationallicence Schrödinger equations nationallicence Global wave front set nationallicence Propagation of singularities nationallicence Nicola Fabio Dipartimento di Scienze Matematiche, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129, Turin, Italy aut Rodino Luigi Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123, Turin, Italy aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1715-1732 1021-9722 22:6<1715 2015 22 30 https://doi.org/10.1007/s00030-015-0341-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0341-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nicola Fabio Dipartimento di Scienze Matematiche, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129, Turin, Italy aut NATIONALLICENCE 700 1- Rodino Luigi Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123, Turin, Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1715-1732 1021-9722 22:6<1715 2015 22 30