Anup Biswas
Associate Professor
Mathematics
Controlled diffusion, queuing theory, large deviation theory
+91-20-25908254
anup@iiserpune.ac.in
Anup Biswas obtained his PhD from TIFR Centre for Applicable Mathematics, Bangalore, in 2011. He then did a two-year postdoc at the Technion IIT, Israel, and a one-year postdoc at the University of Texas at Austin. He joined IISER Pune in 2014 as an Assistant Professor.
Research
Non/local PDEs, controlled diffusion, potential theory
During his PhD, Dr. Anup Biswas mainly worked on stochastic control problems and his postdoc works were devoted to queueing control problems. Currently, Dr. Biswas's main work is on stochastic control and nonlocal PDE problems. He uses probabilistic tools to address problems in PDE.
Selected Publications
Biswas, Anup and Lierl, Jenna (2020) Faber-Krahn type inequalities and uniqueness of positive solutions on metric measure spaces, Journal of Functional Analysis 278, 108429
Arapostathis, Ari; Biswas, Anup and Caffarelli, Luis (2019). On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient, Communications in Partial Differential Equations, 44:12, 1466-1480
Biswas, Anup and Lörinczi, József (2019). Maximum principles and Aleksandrov-Bakelman-Pucci type estimates for non-local Schrödinger equations with exterior conditions, SIAM J. of Math Analysis, 51(3), 1543–1581
Biswas, Anup (2019). Liouville type results for systems of equations involving fractional Laplacian in exterior domains, Nonlinearity, 32, 2246–2268
Ari, Arapostathis; Biswas, Anup and Saha, Subhamay (2019) Strict monotonicity of principal eigenvalues of elliptic operators in Rd and risk-sensitive control, Journal de Mathématiques Pures et Appliquées, Vol 124, 169-219