Part of the Mathematics Commons

Works by Shijun Zheng in Mathematics

2018

Function Spaces Associated with Schrödinger Operators: The Pöschl-Teller Potential, Gestur Olafsson, Shijun Zheng
Shijun Zheng

Time Decay for Schrödinger Equation with Rough Potentials, Shijun Zheng
Shijun Zheng

Partial Differential Equations and Function Spaces, Shijun Zheng, Simone Secchi, Huoxiong Wu, Nguyen Cong Phuc
Shijun Zheng

Littlewood-Paley Theorem for Schrödinger Operators, Shijun Zheng
Shijun Zheng

Minimal Mass-Energy Dynamics for Rotating BEC, Shijun Zheng
Shijun Zheng

Minimal Mass-Energy Dynamics for Solitons Arising in Mathematical Physics, Shijun Zheng
Shijun Zheng

Spectral Calculus for Schrödinger Operators in One and Three Dimensions, Shijun Zheng
Shijun Zheng

Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity, Shijun Zheng
Shijun Zheng

Smoothing Properties and Soliton Waves for Hamiltonian Systems, I: Schrödinger Equations with Magnetic Fields, Shijun Zheng
Shijun Zheng

Spectral Calculus in Function Spaces and Quantum Scattering, Shijun Zheng
Shijun Zheng

Spectral Multipliers for Schrödinger Operators, Shijun Zheng
Shijun Zheng

Time Decay of Quantum Waves on Riemannian Manifolds – Recent Development, Shijun Zheng
Shijun Zheng

The Inner Beauty of Randomness, Shijun Zheng
Shijun Zheng

2017

Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation, Yi Hu, Nyla Basharat, Shijun Zheng
Yi Hu

Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation, Nyla Basharat, Yi Hu, Shijun Zheng
Yi Hu

Some Blow-Up Rates of Solutions to Nonlinear Schrödinger Equations With Rotations, Nyla Basharat, Yi Hu, Shijun Zheng
Yi Hu

Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Minimal Mass-Energy Dynamics for Rotating BEC, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Some Blow-Up Rates of Solutions to Nonlinear Schrödinger Equations With Rotations, Nyla Basharat, Yi Hu, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

2016

Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation, Yi Hu, Nyla Basharat, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Minimal Mass-Energy Dynamics for Solitons Arising in Mathematical Physics, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Partial Differential Equations and Function Spaces, Shijun Zheng, Simone Secchi, Huoxiong Wu, Nguyen Cong Phuc
Department of Mathematical Sciences Faculty Publications

PDF

Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation, Nyla Basharat, Yi Hu, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

2015

Recent Progress on Global Regularity for Rotating BEC, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Recent Progress on Global Regularity for Rotating BEC, Shijun Zheng
Shijun Zheng

Long Time Existence for Magnetic Nonlinear Schrödinger Equations, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Long Time Existence for Magnetic Nonlinear Schrödinger Equations, Shijun Zheng
Shijun Zheng

2014

Interpolation Theorems for Self-Adjoint Operators, Shijun Zheng
Shijun Zheng

Spectral Multipliers for Schrödinger Operators, Shijun Zheng
Shijun Zheng

Note on Gradient Estimates of Heat Kernel for Schrödinger Operators, Shijun Zheng
Shijun Zheng

Besov Spaces for the Schrödinger Operator with Barrier Potential, John J. Benedetto, Shijun Zheng
Shijun Zheng

Fractional Regularity for Nonlinear Schödinger Equations with Magnetic Fields, Shijun Zheng
Shijun Zheng

Harmonic Analysis Related to Schrödinger Operators, Gestur Olafsson, Shijun Zheng
Shijun Zheng

Nonlinear Schrödinger Equations for Bose-Einstein Condensates, Luigi Galati, Shijun Zheng
Shijun Zheng

Strichartz Estimates and Local Wellposedness for the Schrödinger Equation with the Twisted Sub-Laplacian, Zhenqiu Zhang, Shijun Zheng
Shijun Zheng

Smoothing Properties and Soliton Waves for Hamiltonian Systems, I: Schrödinger Equations with Magnetic Fields, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

2013

The Inner Beauty of Randomness, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Nonlinear Schrödinger Equations for Bose-Einstein Condensates, Luigi Galati, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

On Nonlinear Schrödinger Equations with Magnetic Fields, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

On Nonlinear Schrödinger Equations with Magnetic Fields, Shijun Zheng
Shijun Zheng

2012

Contemporary Mathematics: Recent Advances in Harmonic Analysis and Partial Differential Equations, Andrea R. Nahmod, Christopher D. Sogge, Xiaoyi Zhang, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

Contemporary Mathematics: Recent Advances in Harmonic Analysis and Partial Differential Equations, Andrea R. Nahmod, Christopher D. Sogge, Xiaoyi Zhang, Shijun Zheng
Department of Mathematical Sciences Faculty Bookshelf

Contemporary Mathematics: Recent Advances in Harmonic Analysis and Partial Differential Equations, Andrea R. Nahmod, Christopher D. Sogge, Xiaoyi Zhang, Shijun Zheng
Shijun Zheng

Fractional Regularity for Nonlinear Schödinger Equations with Magnetic Fields, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

2011

Long Time Solutions of the Nonlinear Schrödinger Equation with a Magnetic Field, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Long Time Solutions of the Nonlinear Schrödinger Equation with a Magnetic Field, Shijun Zheng
Shijun Zheng

Semilinear Schrödinger Equation with Magnetic Potentials, Shijun Zheng
Shijun Zheng

2010

Note on Gradient Estimates of Heat Kernel for Schrödinger Operators, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

PDF

Besov Spaces for the Schrödinger Operator with Barrier Potential, John J. Benedetto, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

Nonlinear Schrödinger Equation with a Magnetic Potential, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Nonlinear Schrödinger Equation with a Magnetic Potential, Shijun Zheng
Shijun Zheng

Spectral Calculus for Differential Operators with Nonsmooth Coefficients, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Spectral Calculus for Differential Operators with Nonsmooth Coefficients, Shijun Zheng
Shijun Zheng

Spectral Multipliers for Schrödinger Operators, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

Strichartz Estimates and Local Wellposedness for the Schrödinger Equation with the Twisted Sub-Laplacian, Zhenqiu Zhang, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

2009

Spectral Calculus for Differential Operators with Nonsmooth Coefficients, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Spectral Calculus for Differential Operators with Nonsmooth Coefficients, Shijun Zheng
Shijun Zheng

Spectral Multipliers for Schrödinger Operators, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Spectral Multipliers for Schrödinger Operators, Shijun Zheng
Shijun Zheng

Spectral Calculus for Schrödinger Operators, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Interpolation Theorems for Self-Adjoint Operators, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

PDF

Spectral Calculus for Schrödinger Operators, Shijun Zheng
Shijun Zheng

Strichartz Estimates for Schrödinger Equation with a Magnetic Potential, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Strichartz Estimates for Schrödinger Equation with a Magnetic Potential, Shijun Zheng
Shijun Zheng

2008

Harmonic Analysis and Nonlinear Schrödinger Equations, Shijun Zheng
Shijun Zheng

Harmonic Analysis and Nonlinear Schrödinger Equations, Shijun Zheng
Shijun Zheng

Spectral Calculus, Besov Spaces and Dispersive Equations, Shijun Zheng
Shijun Zheng

Harmonic Analysis Related to Schrödinger Operators, Gestur Olafsson, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

PDF

2007

Time Decay for Schrödinger Equation with Rough Potentials, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

Time Decay of Quantum Waves on Riemannian Manifolds – Recent Development, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Spectral Multipliers for Schrödinger Operators: 1, Shijun Zheng
Shijun Zheng

Spectral Calculus in Function Spaces and Quantum Scattering, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

2006

Function Spaces Associated with Schrödinger Operators: The Pöschl-Teller Potential, Gestur Olafsson, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

Littlewood-Paley Theorem for Schrödinger Operators, Shijun Zheng
Department of Mathematical Sciences Faculty Publications

Spectral Calculus for Schrödinger Operators in One and Three Dimensions, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

Spectral Multipliers for Schrödinger Operators, Shijun Zheng
Department of Mathematical Sciences Faculty Presentations

2005

Multiscale Operator Reconstructions and Time-Dependent PDEs, Shijun Zheng
Shijun Zheng

2004

A Representation Formula Related to Schrödinger Operators, Shijun Zheng
Shijun Zheng

Operator Reconstruction in Wavelet Bases and Its Use in Partial Differential Equations, Shijun Zheng
Shijun Zheng

Operator Representations and Applications in PDEs, Shijun Zheng
Shijun Zheng

2003

Wavelet Decompositions for Semigroup Operators, Shijun Zheng
Shijun Zheng

2002

Schrödinger Operators, Besov Spaces, and Wavelet Computations for Thin Film Image Processing, Shijun Zheng
Shijun Zheng

Besov Spaces Associated With Schrödinger Operators, Shijun Zheng
Shijun Zheng

2000

Cesàro Summability of Hardy Spaces on the Ring of Integers in a Local Field, Shijun Zheng
Shijun Zheng

1999

Remarks on Self-Similar Fractal Sets, Shijun Zheng, Weixing Zheng
Shijun Zheng

1998

Lp Estimates for the Iterated Hardy-Littlewood Maximal Operator on Rn and Kn, K a Local Field, Shijun Zheng, Weiyi Su
Shijun Zheng

1997

Riesz Type Kernels Over the Ring of Integers of a Local Field, Shijun Zheng
Shijun Zheng

Almost Everywhere Convergence of Sequences of Multiplier Operators on Local Fields, Shijun Zheng, Weixing Zheng
Shijun Zheng

1996

A Note on Riesz Means Over the Ring of P−Adic Integers, Shijun Zheng, Jianming Liu
Shijun Zheng

1995

On Riesz Type Kernels Over Local Fields, Shijun Zheng
Shijun Zheng

1993

Representation Theorems on Local Fields, Shijun Zheng
Shijun Zheng