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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.AP2020
The Cauchy problem for -evolution equations with data in Gelfand-Shilov spaces
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello
We consider the Cauchy problem for a -evolution operator with -depending coefficients and complex valued lower order terms. We assume the initial data to be Gevrey re…