Research Profile
Journal Articles
Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir. Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group, Mathematical Methods in the Applied Sciences, 48 , 4904–4923, (2025) http://doi.org/10.1002/mma.10583
Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky, Abhilash Tushir. Time-fractional discrete diffusion equation for Schrödinger operator. Fractional calculus and applied analysis, 27, 3208–3239 (2024). https://doi.org/10.1007/s13540-024-00323-y
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, (2025); 155(1): 57-80. (Open access) https://doi.org/10.1017/prm.2023.84
Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir. Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation, Aequationes Mathematicae, (2025). https://doi.org/10.1007/s00010-025-01164-7
Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir, Discrete time-dependent wave equations I. Semiclassical analysis.
Journal of Differential Equations 317, 89–120 (2022). https://doi.org/10.1016/j.jde.2022.01.048
Book Chapters
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 (2024). https://doi.org/10.1007/978-3-031-41665-1_14
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 (2024). https://doi.org/10.1007/978-3-031-42539-4_27
Preprints
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
Aparajita Dasgupta, Shyam Swarup Mondal, Abhilash Tushir. Fractional semilinear damped wave equation on the Heisenberg group. https://arxiv.org/pdf/2501.10816
Aparajita Dasgupta, Lalit Mohan, Abhilash Tushir. Structurally damped semilinear evolution equation for positive operators on Hilbert space. http://arxiv.org/abs/2507.14581
Research Collaborators