Nonlinear fractional damped wave equation on compact Lie groups

A Dasgupta, V Kumar, SS Mondal - Asymptotic Analysis, 2023 - content.iospress.com
In this paper, we deal with the initial value fractional damped wave equation on G, a
compact Lie group, with power-type nonlinearity. The aim of this manuscript is twofold. First …

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order

A Dasgupta, V Kumar, SS Mondal… - Journal of Evolution …, 2024 - Springer
In this paper, we focus on studying the Cauchy problem for semilinear damped wave
equations involving the sub-Laplacian L on the Heisenberg group H n with power type …

Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces

A Dasgupta, V Kumar, SS Mondal… - arXiv preprint arXiv …, 2024 - arxiv.org
Let $\mathbb G $ be a graded Lie group with homogeneous dimension $ Q $. In this paper,
we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving …