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math.AP2022
Nonlinear fractional damped wave equation on compact Lie groups
Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal
In this paper, we deal with the initial value fractional damped wave equation on , a compact Lie group, with power-type nonlinearity. The aim of this manuscript is twofold. Firs…
math.FA2022★ 3 cited
Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order
Manoj Kumar, Vishvesh Kumar, Michael Ruzhansky
A classical theorem of Titchmarsh relates the -Lipschitz functions and decay of the Fourier transform of the functions. In this note, we prove the Titchmarsh theorem for Damek…