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Theme for TIFR Centre For Applicable Mathematics, Bangalore

Abstract: In this talk I will present some results on fully non-linear non-local Bellman-Isaacs equations involving $C^{1+ \gamma}$-type regularity estimate of viscosity solutions and the rate of convergence for monotone approximation schemes. In addition, I will discuss the issues related to the asymptotic behavior of solutions for fractional Dirichlet problems on cylindrical domains tending to infinity.