5 papers
The stochastic Cahn-Hilliard equation in critical spaces
Simon Bau, Gideon Chiusole, Sarah Geiss +2
We study stochastic Cahn-Hilliard equations in bounded smooth domains with a double-well potential, transport-type noise, and natural Neumann boundary conditions in dimensions $d\l…
Correction to: Criteria for Strong and Weak Random Attractors
Hans Crauel, Sarah Geiss, Michael Scheutzow
In the article 'Criteria for Strong and Weak Random Attractors' necessary and sufficient conditions for strong attractors and weak attractors are studied. In this note we correct t…
Concave and other generalizations of stochastic Gronwall inequalities
Sarah Geiss
We provide nonlinear generalizations of a class of stochastic Gronwall inequalities that have been studied by von Renesse and Scheutzow (2010), Scheutzow (2013), Xie and Zhang (202…
Sharp convex generalizations of stochastic Gronwall inequalities
Sarah Geiss
We provide generalizations of a class of stochastic Gronwall inequalities that has been studied by von Renesse and Scheutzow (2010), Scheutzow (2013), Xie and Zhang (2020) and Mehr…
Sharpness of Lenglart's domination inequality and a sharp monotone version
Sarah Geiss, Michael Scheutzow
We prove that the best so far known constant of a domination inequality, which originates to Lenglart, is sharp. In particular, we solve an op…