Research | Renjith Thazhathethil

Research Interests

My broad area of research is Partial Differential Equations. Specifically, I focus on the mathematical fields of homogenization and optimal control problems.

PhD

PhD from Department of Mathematics, Indian Institute of Science, Bangalore, India.
Research Supervisor: Prof. A. K Nandakumaran
Thesis Title: Homogenization of Partial Differential Equation on oscillating boundary domains with $L^1$ data and Optimal Control Problems

Research Positions

Feb 2023 - Nov 2023: Research Associate, Dept. of Mathematics, IISc Bangalore.
Dec 2023 - February 2026: Post Doctoral Research Fellow, Stat Math Unit, ISI Bangalore.

Publications

A K Nandakumaran, Abu Sufian, Renjith T, Homogenization of elliptic PDE with $L^1$ source term in domains with boundary having very general oscillations, Asymptotic Analysis. (2022). [Link]
A K Nandakumaran, Abu Sufian, Renjith T, Homogenization with strong contrasting diffusivity in a circular oscillating domain with $L^1$ source term, Ann. Mat. Pura Appl. (2022). [Link]
A K Nandakumaran, Abu Sufian, Renjith T, Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients, Applied Mathematics and Optimization (2024). [Link]
A K Nandakumaran, Abu Sufian, Renjith T, Semi-linear optimal control problems with strong contrasting diffusivity in rough domains, Ann. Mat. Pura Appl. (2025). [Link]