25 citations · 118 across the 35 of their papers we have counts for
36 papers
Counterexamples to the and boundedness of the one-dimensional wave operators
Sisi Huang, Xiaohua Yao
It is well established that the wave operators for the one-dimensional Schrödinger operator are bounded on for all in bot…
Decay estimates for Beam equations with potentials in dimension three
Miao Chen, Ping Li, Avy Soffer +1
This paper is devoted to studying time decay estimates of the solution for Beam equation (higher order type wave equation) with a potential $$u_{t t}+\big(Δ^2+V\big)u=0, \,\ u(0, x…
-boundedness of wave operators for bi-Schrödinger operators on the line
Haruya Mizutani, Zijun Wan, Xiaohua Yao
This paper is devoted to establishing several types of -boundedness of wave operators associated with the bi-Schrödinger operators on the…
Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator
Peijun Li, Xiaohua Yao, Yue Zhao
In this paper, we prove a conditional Hölder stability estimate for the inverse spectral problem of the biharmonic operator. The proof employs the resolvent estimate and a Weyl-typ…
Direct and inverse problems for the Schrödinger operator in a three-dimensional planar waveguide
Peijun Li, Xiaohua Yao, Yue Zhao
In this paper, we study the meromorphic continuation of the resolvent for the Schrödinger operator in a three-dimensional planar waveguide. We prove the existence of a resonance-fr…
Decay estimates for bi-Schrödinger operators in dimension one
Avy Soffer, Zhao Wu, Xiaohua Yao
This paper is devoted to study the time decay estimates for bi-Schrödinger operators in dimension one with decaying potentials . We first deduce the asymptotic…