Sharp $L^p$-bounds for the wave equation on groups of Heisenberg type
Classical Analysis and ODEs
2016-01-20 v1 Analysis of PDEs
Abstract
Consider the wave equation associated with the Kohn Laplacian on groups of Heisenberg type. We construct parametrices using oscillatory integral representations and use them to prove sharp and Hardy space regularity results.
Keywords
Cite
@article{arxiv.1408.3051,
title = {Sharp $L^p$-bounds for the wave equation on groups of Heisenberg type},
author = {Detlef Müller and Andreas Seeger},
journal= {arXiv preprint arXiv:1408.3051},
year = {2016}
}