29 citations · 187 across the 39 of their papers we have counts for
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math.AP2022
On the non-local boundary value problem from the probabilistic viewpoint
Mirko D'Ovidio
We provide a short introduction of new and well-known facts relating non-local operators and irregular domains. Cauchy problems and boundary value problems are considered in case n…
math.PR2022
Non-local Boundary Value Problems, stochastic resetting and Brownian motions on graphs
Stefano Bonaccorsi, Fausto Colantoni, Mirko D'Ovidio +1
We consider dynamic boundary conditions involving non-local operators. Our analysis includes a detailed description of such operators together with their relations with random time…
math.PR2022★ 1 cited
Fractional Boundary Value Problems and elastic sticky Brownian motions, II: Non-local dynamic boundary conditions on smooth domains
Mirko D'Ovidio
We introduce a wide class of sticky Brownian motions (not necessarily Markovian) and study their boundary occupation time through different notions of holding times. This class con…