17 citations · 28 across the 7 of their papers we have counts for
8 papers
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…
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…
A Solution Theory for a General Class of SPDEs
André Süß, Marcus Waurick
In this article we present a way of treating stochastic partial differential equations with multiplicative noise by rewriting them as stochastically perturbed evolutionary equation…
Absolute continuity for SPDEs with irregular fundamental solution
Marta Sanz-Solé, André Süß
For the class of stochastic partial differential equations studied in [Conus-Dalang,2008], we prove the existence of density of the probability law of the solution at a given point…
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…
Logarithmic asymptotics of the densities of SPDEs driven by spatially correlated noise
Marta Sanz-Solé, André Süß
We consider the family of stochastic partial differential equations indexed by a parameter $\eps\in(0,1]$, \begin{equation*} Lu^{\eps}(t,x) = \epsσ(u^\eps(t,x))\dot{F}(t,x)+b(u^\ep…