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math.PR2020
Solution theory to semilinear parabolic stochastic partial differential equations with polynomially bounded coefficients
Alessia Ascanelli, Sandro Coriasco, André Suß
We study function-valued solutions of a class of stochastic partial differential equations, involving operators with polynomially bounded coefficients. We consider semilinear equat…
math.PR2014★ 17 cited
Random-field Solutions to Linear Hyperbolic Stochastic Partial Differential Equations with Variable Coefficients
Alessia Ascanelli, André Süß
In this article we show the existence of a random-field solution to linear stochastic partial differential equations whose partial differential operator is hyperbolic and has varia…