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math.AP2022
Well-posedness of a parametrically forced nonlinear Schrödinger equation driven by translation-invariant noise
Manuel V. Gnann, Rik W. S. Westdorp, Joris van Winden
We prove well-posedness in for any of a parametrically forced nonlinear Schrödinger equation (PFNLS) in one dimension driven by multiplicative S…
math.PR2022
Higher order moments for SPDE with monotone nonlinearities
Manuel V. Gnann, Jochem Hoogendijk, Mark C. Veraar
This paper introduces a new -dependent coercivity condition through which -moments for solutions can be obtained for a large class of SPDEs in the variational framework. If…