# 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…

## One Citation

$L^p$-boundedness of wave operators for fourth-order Schr\"odinger operators on the line

- Mathematics, Physics
- 2022

This paper is devoted to establishing various L-boundedness properties of the wave operators W± = W±(H,∆ ) associated with the fourth-order Schrödinger operators H = ∆ + V (x) on the line R. Under a…

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