• Corpus ID: 235683331

Decay estimates for bi-Schr\"odinger operators in dimension one

@inproceedings{Soffer2021DecayEF,
  title={Decay estimates for bi-Schr\"odinger operators in dimension one},
  author={Avy Soffer and Zhao Wu and Xiaohua Yao},
  year={2021}
}
This paper is devoted to study the time decay estimates for bi-Schrödinger operators H = (−∆)+V (x) in dimension one with the decay potentials V (x). We first deduce the asymptotic expansions of resolvent of H at zero energy threshold with the presence of resonances; then characterize these resonance spaces corresponding to type of zero resonances in a suitable weighted space Ls(R). Then use them to establish the sharp L 1 −L decay estimates of Schrödinger groups e generated by bi-Schrödinger… 
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