Global martingale solutions are constructed for stochastic NLS with multiplicative noise in energy space H^1 for subcritical nonlinearities on general unbounded domains and manifolds.
o ckner, and D. Zhang. Scattering for stochastic nonlinear Schr\
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The stochastic nonlinear Schr\"odinger equation in unbounded domains and manifolds
Global martingale solutions are constructed for stochastic NLS with multiplicative noise in energy space H^1 for subcritical nonlinearities on general unbounded domains and manifolds.