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math.AP2025
A Schauder regularity theory for nonlocal and mixed local-nonlocal viscous Hamilton$\unicode{x2013}$Jacobi equations
Espen Robstad Jakobsen, Robin Østern Lien, Artur Rutkowski
We prove space-time Schauder estimates $\unicode{x2013}$ optimal regularity estimates in Hölder spaces $\unicode{x2013}$ and well-posedness results for mild and classical solutions…
math.AP2025
Nonlocal degenerate parabolic hyperbolic equations on bounded domains. Part II: Existence
Jørgen Endal, Espen R Jakobsen, Ola Mæhlen
We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations on bounded domains with general Diric…
math.AP2025
Long time behaviour of Mean Field Games with fractional diffusion
Olav Ersland, Espen Robstad Jakobsen, Alessio Porretta
In this paper we study the long time behaviour of mean field games systems with fractional diffusion, modeling the case that the individual dynamics of the players is driven by ind…