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math.AP2023
Nonlinear Dirichlet forms associated with quasiregular mappings
Camelia Beznea, Lucian Beznea, Michael Roeckner
If is a symmetric, regular, strongly local Dirichlet form on , admitting a carré du champ operator , and is a real number, then one can d…
math.AP2023
Nonlinear Fokker--Planck--Kolmogorov equations as gradient flows on the space of probability measures
Marco Rehmeier, Michael Röckner
We propose a general method to identify nonlinear Fokker--Planck--Kolmogorov equations (FPK equations) as gradient flows on the space of probability measures on with…
math.AP2023★ 3 cited
The three dimensional stochastic Zakharov system
Sebastian Herr, Michael Röckner, Martin Spitz +1
We study the three dimensional stochastic Zakharov system in the energy space, where the Schrödinger equation is driven by linear multiplicative noise and the wave equation is driv…