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math.AP2023
Well-posedness of a Hamilton-Jacobi-Bellman equation in the strong coupling regime
Serena Della Corte, Richard C. Kraaij
We prove comparison principle for viscosity solutions of a Hamilton-Jacobi-Bellman equation in a strong coupling regime considering a stationary and a time-dependent version of the…
math.AP2021
Global Existence and Stability for the Modified Mullins-Sekerka and Surface Diffusion Flow
Serena Della Corte, Antonia Diana, Carlo Mantegazza
In this survey we present the state of the art about the asymptotic behavior and stability of the modified Mullins--Sekerka flow and the surface diffusion flow of smooth sets, main…