Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case

On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

Robert T. Glassey · Journal of Mathematical Physics · 1977 · 760 citations

Natural Sciences, Mathematics, Physics +14

The Stochastic Nonlinear Schrödinger Equation in<i>H</i>¹

Anne de Bouard, Arnaud Debussche · Stochastic Analysis and Applications · 2003 · 185 citations

Natural Sciences, Mathematics, Physics +12

Numerical simulation of focusing stochastic nonlinear Schrödinger equations

Arnaud Debussche, Laurent Di Menza · Physica D Nonlinear Phenomena · 2002 · 95 citations

Natural Sciences, Computational Engineering, Physics +14

Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations

Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru · Journal of Functional Analysis · 2008 · 91 citations

Natural Sciences, Physics, Dynamical Systems +7

On the Cauchy problem for Schrödinger type equations and the regularity of the solutions

Shin-ichi Doi · Kyoto journal of mathematics · 1994 · 78 citations · Full text

Natural Sciences, Mathematics, Physics +14