Xuezhu Lu

activity

20152023

most citedGeneral KAM theorems and their applications to invariant tori with prescribed frequencies

14 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2023

Partial Data Inverse Problems for the Nonlinear Schrödinger Equation

Ru-Yu Lai, Xuezhu Lu, Ting Zhou

In this paper we prove the uniqueness and stability in determining a time-dependent nonlinear coefficient $β (t, x)$ in the Schrödinger equation $(i\partial_t + Δ+ q(t, x))u + βu^2…

math.AP2022

Inverse problems for nonlinear Helmholtz Schrödinger equations and time-harmonic Maxwell's equations with partial data

Xuezhu Lu

We consider Calderón's inverse boundary value problems for a class of nonlinear Helmholtz Schrödinger equations and Maxwell's equations in a bounded domain in $R^{n}$ . The main meth…

math.DS2015★ 14 cited

General KAM theorems and their applications to invariant tori with prescribed frequencies

Junxiang Xu, Xuezhu Lu

In this paper we develop some new KAM-technique to prove two general KAM theorems for nearly integrable hamiltonian systems without assuming any non-degeneracy condition. Many of K…