4 citations · 6 across the 5 of their papers we have counts for
5 papers
A strongly degenerate fully nonlinear mean field game with nonlocal diffusion
Indranil Chowdhury, Espen R. Jakobsen, Miłosz Krupski
There are few results on mean field game (MFG) systems where the PDEs are either fully nonlinear or have degenerate diffusions. This paper introduces a problem that combines both d…
On fully nonlinear parabolic mean field games with nonlocal and local diffusions
Indranil Chowdhury, Espen R. Jakobsen, Miłosz Krupski
We introduce a class of fully nonlinear mean field games posed in . We justify that they are related to controlled local or nonlocal diffusions, and more g…
A framework for non-local, non-linear initial value problems
Grzegorz Karch, Moritz Kassmann, Miłosz Krupski
We study the Cauchy problem for non-linear non-local operators that may be degenerate. Our general framework includes cases where the jump intensity is allowed to depend on the val…
Convection-Diffusion Equations with Random Initial Conditions
Miłosz Krupski
We consider an evolution equation generalising the viscous Burgers equation supplemented by an initial condition which is a homogeneous random field. We develop a non-linear framew…
Scaling Limits of Solutions of Linear Evolution Equations with Random Initial Conditions
Miłosz Krupski
We consider a linear equation , where is a generator of a semigroup of linear operators on a certain Hilbert space related to an initial…