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math.AP2023
Improved regularity for the stochastic fast diffusion equation
Ioana Ciotir, Dan Goreac, Jonas M. Tölle
We prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter , with zero Dirichlet boundary conditions on a bounded domain in…
math.AP2023
A Stochastic Porous Media Schr{ö}dinger Equation: Feynman-type Motivation, Well-Posedness and Control Interpretation
Ioana Ciotir, Dan Goreac, Juan Li +1
This paper's aim is threefold. First, using Feynman's path approach to the derivation of theclassical Schr{ö}dinger's equation in [6] and by introducing a slight path (or wave) dep…