2 papers
math.AP2023
A bridge between convexity and quasiconvexity
Pablo Blanc, Mikko Parviainen, Julio Rossi
We introduce a notion of convexity with respect to a one-dimensional operator and with this notion find a one-parameter family of different convexities that interpolates between cl…
math.AP2022
Local regularity estimates for general discrete dynamic programming equations
Ángel Arroyo, Pablo Blanc, Mikko Parviainen
We obtain an analytic proof for asymptotic Hölder estimate and Harnack's inequality for solutions to a discrete dynamic programming equation. The results also generalize to functio…