activity
20042026
most citedGlobal estimates of fundamental solutions for higher-order Schrödinger equations

25 citations · 118 across the 35 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.AP2021

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…

math.AP2021

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…

math.AP2021

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…

math.AP2021★ 1 cited

Stability for an inverse source problem of the damped biharmonic plate equation

Peijun Li, Xiaohua Yao, Yue Zhao

This paper is concerned with the stability of the inverse source problem for the damped biharmonic plate equation in three dimensions. The stability estimate consists of the Lipsch…

math.AP2021★ 1 cited

Stability for an inverse source problem of the biharmonic operator

Peijun Li, Xiaohua Yao, Yue Zhao

In this paper, we study for the first time the stability of the inverse source problem for the biharmonic operator with a compactly supported potential in . Firstly, t…