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math.AP2022
Solution theory to semilinear stochastic equations of Schrödinger type on curved spaces I -- Operators with uniformly bounded coefficients
Alessia Ascanelli, Sandro Coriasco, André Süß
We study the Cauchy problem for Schrödinger type stochastic partial differential equations with uniformly bounded coefficients on a curved space. We give conditions on the coeffici…
math.AP2016
Solution theory to Semilinear Hyperbolic Stochastic Partial Differential Equations with polynomially bounded coefficients
Alessia Ascanelli, Sandro Coriasco, André Süß
We study mild solutions of a class of stochastic partial differential equations, involving operators with polynomially bounded coefficients. We consider semilinear equations under…