Publications
(Jointly with E. Jakobsen and M. Krupski) On fully nonlinear parabolic mean field games with nonlocal and local diffusions, Accepted in SIAM Journal of Mathematical Analysis, 34 pages, 2024.
(Jointly with E. Jakobsen and R. Ø. Lien) Discretization of Fractional Fully Nonlinear Equations by Powers of Discrete Laplacians. Submitted, (https://arxiv.org/abs/2401.09926) 2024.
(Jointly with E. Jakobsen) Precise Error Bounds for Numerical Approximations of Fractional HJB Equations. IMA Journal of Numerical Analysis (https://doi.org/10.48550/arXiv.2308.164342308.16434) , 31 pages, 2024.
(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. Nonlinear Analysis (https://doi.org/10.1016/j.na.2022.113189), 16 pages, 2022.
(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.
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