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arxiv: 1807.06825 · v1 · pith:SGX7JT6Bnew · submitted 2018-07-18 · 🧮 math.AP · math.PR

Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions

Massimiliano Gubinelli , Baris Evren Ugurcan , Immanuel Zachhuber This is my paper
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keywords andersonequationshamiltonianthreeanalyzedimensionaldimensionsdomains
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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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  1. The stochastic nonlinear Schr\"odinger equation in unbounded domains and manifolds

    math.AP 2019-06 unverdicted novelty 6.0

    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.