3 papers
math.PR2021
Stochastic evolution equations driven by cylindrical stable noise
Tomasz Kosmala, Markus Riedle
We prove existence and uniqueness of a mild solution of a stochastic evolution equation driven by a standard -stable cylindrical Lévy process defined on a Hilbert space for $α\i…
math.PR2019
Stochastic integration with respect to cylindrical Lévy processes by p-summing operators
Tomasz Kosmala, Markus Riedle
We introduce a stochastic integral with respect to cylindrical Lévy processes with finite -th weak moment for . The space of integrands consists of -summing opera…
math.PR2018
Variational solutions of stochastic partial differential equations with cylindrical Lévy noise
Tomasz Kosmala, Markus Riedle
In this article, the existence of a unique solution in the variational approach of the stochastic evolution equation $$\dX(t) = F(X(t)) \dt + G(X(t)) \dL(t)$$ driven by a cylindric…