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Decay estimates for fractional wave equations on H-type groups

Functional Analysis 2016-08-30 v1

Abstract

The aim of this paper is to establish the decay estimate for the fractional wave equation semigroup on H-type groups given by eitΔαe^{it\Delta^\alpha}, 0<α<10<\alpha<1. Combing the dispersive estimate and a standard duality argument, we also derive the corresponding Strichartz inequalties.

Keywords

Cite

@article{arxiv.1608.07784,
  title  = {Decay estimates for fractional wave equations on H-type groups},
  author = {Manli Song},
  journal= {arXiv preprint arXiv:1608.07784},
  year   = {2016}
}
R2 v1 2026-06-22T15:32:59.509Z