Xiaoyi Zhang

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF	Scattering of the focusing energy-critical NLS with inverse square potential	2023	Kai Yang Xiaoyi Zhang
+ PDF Chat	Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential	2022	Kai Yang Chongchun Zeng Xiaoyi Zhang
+ PDF Chat	A regularity upgrade of pressure	2021	Dong Li Xiaoyi Zhang
+	A regularity upgrade of pressure	2021	Dong Li Xiaoyi Zhang
+ PDF Chat	A regularity upgrade of pressure	2019	Dong Li Xiaoyi Zhang
+ PDF Chat	Low regularity conservation laws for integrable PDE	2018	Rowan Killip Monica Vişan Xiaoyi Zhang
+ PDF	Symplectic Non-Squeezing for the Cubic NLS on the Line	2017	Rowan Killip Monica Vişan Xiaoyi Zhang
+	Symplectic non-squeezing for the cubic NLS on the line	2016	Rowan Killip Monica Vişan Xiaoyi Zhang
+	Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on $\R^2$	2016	Rowan Killip Monica Vişan Xiaoyi Zhang
+ PDF Chat	Quintic NLS in the exterior of a strictly convex obstacle	2016	Rowan Killip Monica Vişan Xiaoyi Zhang
+ PDF	The Focusing Cubic NLS on Exterior Domains in Three Dimensions	2016	Rowan Killip Monica Vişan Xiaoyi Zhang
+ PDF Chat	Riesz Transforms Outside a Convex Obstacle	2015	Rowan Killip Monica Vişan Xiaoyi Zhang
+	The focusing cubic NLS on exterior domains in three dimensions	2015	Rowan Killip Monica Vişan Xiaoyi Zhang
+ PDF	Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions	2014	Zhen Lei Dong Li Xiaoyi Zhang
+ PDF	On the Dispersive Estimate for the Dirichlet Schrödinger Propagator and Applications to Energy Critical NLS	2014	Dong Li Guixiang Xu Xiaoyi Zhang
+ PDF	On the isentropic compressible Euler equation with adiabatic index<i>γ</i>= 1	2013	Dong Li Changxing Miao Xiaoyi Zhang
+ PDF Chat	Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions	2013	Aynur Bulut Magdalena Czubak Dong Li Nataša Pavlović Xiaoyi Zhang
+	Harmonic analysis outside a convex obstacle	2012	Rowan Killip Monica Vişan Xiaoyi Zhang
+	A New Proof of Global Wellposedness of Liquid Crystals and Heat Harmonic Maps in Two Dimensions	2012	Zhen Lei Dong Li Xiaoyi Zhang
+	Global Wellposedness of Liquid Crystals and Heat Harmonic Maps in Two Dimensions	2012	Zhen Lei Dong Li Xiaoyi Zhang
+ PDF Chat	Smooth global solutions for the two-dimensional Euler Poisson system	2012	Juhi Jang Dong Li Xiaoyi Zhang
+	Quintic NLS in the exterior of a strictly convex obstacle	2012	Rowan Killip Monica Vişan Xiaoyi Zhang
+ PDF	Global well-posedness and scattering for defocusing energy-critical NLS in the exterior of balls with radial data	2012	Dong Li Hart F. Smith Xiaoyi Zhang
+	Riesz transforms outside a convex obstacle	2012	Rowan Killip Monica Vişan Xiaoyi Zhang
+	Wave operators for nonlinear wave equations with null structures	2012	Dong Li Xiaoyi Zhang
+	Stability of solutions for nonlinear Schrödinger equations in critical spaces	2011	Dong Li Xiaoyi Zhang
+	Smooth global solutions for the two dimensional Euler Poisson system	2011	Juhi Jang Dong Li Xiaoyi Zhang
+ PDF	Regularity of almost periodic modulo scaling solutions for mass-critical NLS and applications	2010	Dong Li Xiaoyi Zhang
+ PDF	Exploding solutions for a nonlocal quadratic evolution problem	2010	Dong Li José L. Rodrigo Xiaoyi Zhang
+ PDF	On the focusing mass critical problem in six dimensions with splitting spherically symmetric initial data	2010	Dong Li Xiaoyi Zhang
+ PDF	Global wellposedness and blowup of solutions to a nonlocal evolution problem with singular kernels	2010	Dong Li Xiaoyi Zhang
+ PDF	Global well-posedness and scattering for a class of nonlinear Schröodinger equations below the energy space	2009	Monica Vişan Xiaoyi Zhang
+	Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions	2009	Aynur Bulut Magdalena Czubak Dong Li Nataša Pavlović Xiaoyi Zhang
+	Dynamics for the energy critical nonlinear wave equation in high dimensions	2009	Dong Li Xiaoyi Zhang
+ PDF	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2008	Rowan Killip Monica Vişan Xiaoyi Zhang
+	The focusing energy-critical Hartree equation	2008	Dong Li Changxing Miao Xiaoyi Zhang
+ PDF Chat	Minimal-mass blowup solutions of the mass-critical NLS	2008	Terence Tao Monica Vişan Xiaoyi Zhang
+ PDF Chat	The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities	2007	Terence Tao Monica Vişan Xiaoyi Zhang
+ PDF Chat	On the Blowup for the $L^2$‐Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class	2007	Monica Vişan Xiaoyi Zhang
+	Energy-critical NLS with quadratic potentials	2006	Rowan Killip Monica Vişan Xiaoyi Zhang
+	Global well-posedness and scattering for a class of nonlinear Schrodinger equations below the energy space	2006	Monica Vişan Xiaoyi Zhang
+	On the blowup for the $L^2$-critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class	2006	Monica Vişan Xiaoyi Zhang
+	Minimal-mass blowup solutions of the mass-critical NLS	2006	Terence Tao Monica Vişan Xiaoyi Zhang
+	Global well-posedness and scattering for the mass-critical nonlinear Schrödinger equation for radial data in high dimensions	2006	Terence Tao Monica Vişan Xiaoyi Zhang
+	The nonlinear Schr	2005	Terence Tao Monica Vişan Xiaoyi Zhang
+	The nonlinear Schrödinger equation with combined power-type nonlinearities	2005	Terence Tao Monica Vişan Xiaoyi Zhang

Common Coauthors

Coauthor	Papers Together
Monica Vişan	23
Rowan Killip	13
Dong Li	9
Dong Li	8
Terence Tao	6
Zhen Lei	3
Magdalena Czubak	2
Kai Yang	2
Juhi Jang	2
Aynur Bulut	2
Nataša Pavlović	2
Changxing Miao	2
Dong Li	1
Guixiang Xu	1
Dong Li	1
Chongchun Zeng	1
Dong Li	1
Hart F. Smith	1
José L. Rodrigo	1
Dong Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	24
+	Stability of energy-critical nonlinear Schrödinger equations in high dimensions	2005	Terence Tao Monica Vişan	16
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein	14
+ PDF Chat	Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4	2007	E. Ryckman Monica Vişan	13
+	Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrödinger equation for radial data.	2005	Terence Tao	13
+ PDF	Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup>	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	13
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case	2006	Carlos E. Kenig Frank Merle	12
+ PDF Chat	The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions	2007	Monica Vişan	11
+ PDF	Smoothing properties and retarded estimates for some dispersive evolution equations	1992	J. Ginibre G. Velo	10
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	10
+	High frequency approximation of solutions to critical nonlinear wave equations	1999	Hajer Bahouri Patrick Gérard	9
+	L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity	1990	Frank Merle Yoshio Tsutsumi	9
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	8
+	The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher	2010	Rowan Killip Monica Vişan	8
+	On the blow up phenomenon of the critical nonlinear Schrödinger equation	2005	Sahbi Keraani	8
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	8
+ PDF	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain	7
+ PDF	On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation	2004	Terence Tao	7
+	The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions	2005	Monica Vişan	6
+	Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions	2007	Terence Tao Monica Vişan Xiaoyi Zhang	6
+	Tools for PDE	2007	Michael E. Taylor	6
+	Scattering in the energy space and below for 3D NLS	1998	Jean Bourgain	6
+ PDF	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	6
+	Time decay for the nonlinear Klein-Gordon equation	1968	Cathleen S. Morawetz	6
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey	5
+	Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power	1993	Franck Merle	5
+	The global behavior of heat kernels in exterior domains	2003	Qi S. Zhang	5
+ PDF Chat	Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions	2009	Dong Li Xiaoyi Zhang	5
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein	5
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	5
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong	5
+ PDF	On the generalized Korteweg-de Vries-type equations	1997	Gigliola Staffilani	5
+	Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup>	2004	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	5
+ PDF	Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation	2007	Pascal Bégout Ana Vargas	5
+ PDF	Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1$	2005	J. Colliander Sarah Raynor Catherine Sulem James Wright	5
+ PDF Chat	Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary	2011	Matthew D. Blair Hart F. Smith Chris D. Sogge	5
+	On the Defect of Compactness for the Strichartz Estimates of the Schrödinger Equations	2001	Sahbi Keraani	5
+ PDF	A relation between pointwise convergence of functions and convergence of functionals	1983	Haı̈m Brezis Élliott H. Lieb	5
+ PDF	The cubic nonlinear Schrödinger equation in two dimensions with radial data	2009	Rowan Killip Terence Tao Monica Vişan	4
+ PDF	On nonlinear Schrödinger equations in exterior domains	2004	Nicolas Burq Patrick Gérard Nikolay Tzvetkov	4
+	Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	4
+ PDF	Bilinear virial identities and applications	2009	Fabrice Planchon Luis Vega	4
+ PDF	On the Schrödinger equation outside strictly convex obstacles	2010	Oana Ivanovici	4
+	Dynamics for the energy critical nonlinear wave equation in high dimensions	2010	Dong Li Xiao-Yi Zhang	4
+ PDF	Schrödinger equations: pointwise convergence to the initial data	1988	Luis Vega	4
+ PDF	The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation	2005	Frank Merle Pierre Raphaël	4
+	Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	4
+	None	2005	Taoufik Hmidi Sahbi Keraani	4
+ PDF	Local smoothing properties of dispersive equations	1988	Peter Constantin Jean–Claude Saut	4
+	Profiles and Quantization of the Blow Up Mass for Critical Nonlinear Schr�dinger Equation	2004	Frank Merle Pierre Raphaël	4