activity
20132025
most cited1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay

27 citations · 34 across the 4 of their papers we have counts for

collaborators

5 papers

math.ST2025

Consistency of variational inference for Besov priors in non-linear inverse problems

Shaokang Zu, Junxiong Jia, Zhiguo Wang

This study investigates the variational posterior convergence rates of inverse problems for partial differential equations (PDEs) with parameters in Besov spaces ($p \ge…

math.DS2024

Quantitative Reducibility of Quasi-Periodic Cocycles

Ao Cai, Huihui Lv, Zhiguo Wang

This paper establishes an extreme reducibility theorem of quasi-periodic cocycles in the local perturbative region, revealing both the essence of Eliasson…

math.DS2017★ 7 cited

Reducibility of quantum harmonic oscillator on with differential and quasi-periodic in time potential

Zhenguo Liang, Zhiguo Wang

We improve the results by Grébert and Paturel in \cite{GP} and prove that a linear Schrödinger equation on with harmonic potential and small -quasiperiodic potenti…

math.DS2016★ 27 cited

1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay

Zhiguo Wang, Zhenguo Liang

In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of perturbation in \cite{GT} are weakened from polynomial decay to logarithm…

math.DS2013

Boundedness of semilinear Duffing equations at resonance with oscillating nonlinearities

Zhiguo Wang, Daxiong Piao, Yiqian Wang

In this paper, we prove the boundedness of all the solutions for the equation with the Lazer-Leach condition on and , where $n\in \mathbb{N^+…