Research & Publication

Published Papers

1.  Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir, Discrete time-dependent wave equations I. Semiclassical analysis.
   J. Differential Equations 317 (2022), 89–120.  

2. Marianna Chatzakou, Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir.  Discrete heat equation with irregular thermal conductivity and tempered distributional data. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1-24. (2023).

Submitted Papers

1.  Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir. Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation, arXiv:2205.05360     

2. Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky, Abhilash Tushir. Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential, arXiv:2306.02409

3. Marianna Chatzakou and Abhilash Tushir, Very weak solution of the discrete heat equation with irregular time-dependent thermal conductivity, Book Chapter.

4. Shyam Swarup Mondal and Abhilash Tushir, Very Weak Solution of the discrete wave equation for Harmonic Oscillator, Book Chapter.