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.
Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions
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abstract
We analyze nonlinear Schr\"odinger and wave equations whose linear part is given by the renormalized Anderson Hamiltonian in two and three dimensional periodic domains.
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2019 1verdicts
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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.