[HTML][HTML] On heat equations associated with fractional harmonic oscillators

DG Bhimani, R Manna, F Nicola, S Thangavelu… - Fractional Calculus and …, 2023 - Springer
We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat
propagator e - t H β \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …

The mixed fractional Hartree equations in Fourier amalgam and modulation spaces

DG Bhimani, H Hajaiej, S Haque - arXiv preprint arXiv:2302.10683, 2023 - arxiv.org
We prove local and global well-posedness for mixed fractional Hartree equation with low
regularity Cauchy data in Fourier amalgam $\widehat {w}^{p, q} $ and modulation $ M^{p, q} …