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math.AP2025
Structurally damped semilinear evolution equation for positive operators on Hilbert space
Aparajita Dasgupta, Lalit Mohan, Abhilash Tushir
In this study, we analyze a semilinear damped evolution equation under different damping conditions, including the undamped , effectively damped , critically dampe…
math.AP2025
Fractional semilinear damped wave equation on the Heisenberg group
Aparajita Dasgupta, Shyam Swarup Mondal, Abhilash Tushir
This paper aims to investigate the Cauchy problem for the semilinear damped wave equation for the fractional sub-Laplacian , on the Heisenberg…