4 papers
Long Range Asymptotics for the Quadratic Aharonov-Bohm NLS
Piero D'Ancona, Tohru Ozawa
We study the long range behavior of solutions to on , where is the Friedrichs realization of the Aharonov-Bohm Hamiltonian with a singl…
Global -solutions for the generalized derivative NLS on
Masayuki Hayashi, Tohru Ozawa, Nicola Visciglia
We prove global existence of solutions to the Cauchy problem for the generalized derivative nonlinear Schrödinger equation on the 1-d torus. This answers an open problem pose…
Low regularity solutions to the logarithmic Schrodinger equation
Rémi Carles, Masayuki Hayashi, Tohru Ozawa
We consider the logarithmic Schr{ö}dinger equation, in various geometric settings. We show that the flow map can be uniquely extended from H^1 to L^2 , and that this extension is L…
The Cauchy problem for the logarithmic Schrödinger equation revisited
Masayuki Hayashi, Tohru Ozawa
We revisit the Cauchy problem for the logarithmic Schrödinger equation and construct strong solutions in , the energy space, and the -energy space. The solutions are prov…