Research

Journal Articles

• 1.  Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir, Discrete time-dependent wave equations I. Semiclassical analysis.
     Journal of Differential Equations 317 (2022), 89–120. https://doi.org/10.1016/j.jde.2022.01.048 

  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). (Open access) https://doi.org/10.1017/prm.2023.84

Book Chapters

• 3. Shyam Swarup Mondal and Abhilash Tushir, Chapter: Very Weak Solution of the discrete wave equation for Harmonic Oscillator Inbook: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics, vol 2. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-42539-4_27

  4. Marianna Chatzakou and Abhilash Tushir, Chapter: Very weak solution of the discrete heat equation with irregular time-dependent thermal conductivity.  Inbook: Ruzhansky, M., Torebek, B. (eds) Extended Abstracts MWCAPDE 2023. MWCAPDE 2023. Trends in Mathematics, vol 1. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41665-1_14

Preprints

• 5. Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir. Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation, https://arxiv.org/abs/2205.05360    

  6. Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky, Abhilash Tushir.  Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential, https://arxiv.org/abs/2306.02409

  7. Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky, Abhilash Tushir. Time-fractional discrete diffusion equation for Schrödinger operato, https://arxiv.org/abs/2402.13690

Research Collaborators

1. Aparajita Dasgupta (Supervisor)

2. Marianna Chatzakou

3. Michael Ruzhansky (Supervisor)

4. Shyam Swarup Mondal