CRM: Centro De Giorgi

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Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems

course: On the maximum principle for SPDEs, the continuity of their solutions, and the law of square root for Brownian motion

speaker: Nicolai Krylov (University of Minnesota)

abstract: The maximum principle for SPDEs is established in multidimensional $C{1}$ domains. An application is given to proving the Hoelder continuity up to the boundary of solutions of one-dimensional SPDEs. A new law of square root for Brownian motion, discovered in connection with the continuity, plays a crucial role.


timetable:
Wed 21 Jun, 10:30 - 12:30, Sala Conferenze Centro De Giorgi
Thu 22 Jun, 10:30 - 12:30, Sala Conferenze Centro De Giorgi
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