Theory and Numerical Analysis of PDEs, Nonlocal/ Fractional order Problems, Fully Nonlinear Equations
Postdoctoral Researcher at University of Zagreb, Croatia (2020-2022)
Postdoctoral Researcher at Norwegian University of Science and Technology, Trondheim, Norway (2018-2020)
(Jointly with E. Jakobsen and O. Ersland) On Numerical approximations of fractional and nonlocal Mean Field Games.Foundations of Computational Mathematics (https://doi.org/10.1007/s10208-022-09572-w), 51 pages, 2022.
(Jointly with E. Jakobsen and M. Krupski) On fully nonlinear parabolic mean field games with examples of nonlocal and local diffusions, Submitted (https://doi.org/10.48550/arXiv.2104.06985) , 53 pages, 2021.
(Jointly with G. Csato, P. Roy and F. Sk) Study of fractional Poincare inequalities on unbounded domains.Discrete and Continuous Dynamical Systems ( https://doi.org/10.3934/dcds.2020394), 27 pages, 2021.
(Jointly with P. Roy) Fractional Poincare Inequality for Unbounded Domains with Finite Ball Condition: Counter Example. Submitted (https://doi.org/10.48550/arXiv.2001.04441), 18 pages, 2021.
(Jointly with I. H. Biswas and E. Jakobsen)On the rate of convergence for monotone numerical schemes for nonlocal Isaacs equations. SIAM Journal on Numerical Analysis (https://doi.org/10.1137/17M114995X), 29 pages, 2019.
(Jointly with P. Roy) On the asymptotic analysis of problems involving fractional Laplacian in cylindrical domains tending to infinity. Communications in Contemporary Mathematics (https://doi.org/10.1142/S0219199716500358), 21 pages, 2017.
(Jointly with I. H. Biswas) On the differentiability of the solutions of non-local Isaacs equations involving 1/2-Laplacian. Communications on Pure and Applied Analysis (https://doi.org/10.3934/cpaa.2016.15.907), 21 pages, 2016.
KD 206 (H R Kadim Diwan Building)Department of Mathematics and Statistics IIT Kanpur, Kanpur 208016
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