PDE seminar
Monday, April 24, 3:30 pm
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Venue: Ramanujan Hall
Host: Saikat Mazumdar
Speaker: Mitesh Modasiya
Affiliation: IISER Pune
Title: Fine boundary regularity results for fully nonlinear mixed local
nonlocal problems
Abstract: In this talk, I will consider Dirichlet problems for fully nonlinear mixed local-nonlocal non-translation invariant operators. I will start by the discussion on global Lipschitz regularity for such problems. Later I will move on to the fine boundary regularity which will require careful construction of appropriate sub/super solutions and a weak version of Harnack inequality. If time permits, I will talk about an overdetermined problem for linear mixed local-nonlocal operators.