Xing Cheng

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All published works

Action	Title	Year	Authors
+ PDF Chat	Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	2024	Xing Cheng Chang‐Yu Guo Zihua Guo Xian Liao Jia Shen
+ PDF Chat	Remark on the scattering theory of the nonlinear Schr\"odinger equation on the cylinders	2024	Xing Cheng Jiqiang Zheng
+ PDF Chat	Scattering for the Mass-Critical Nonlinear Klein–Gordon Equations in Three and Higher Dimensions	2023	Xing Cheng Zihua Guo Satoshi Masaki
+ PDF Chat	Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	2023	Xing Cheng Zhiyuan Li
+	Expanding solutions near unstable Lane-Emden stars	2023	Ming Cheng Xing Cheng Zhiwu Lin
+	Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	2021	Xing Cheng Chang‐Yu Guo Zihua Guo Xian Liao Jia Shen
+	Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	2021	Xing Cheng Zhiyuan Li
+ PDF Chat	Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold	2020	Xing Cheng Zehua Zhao Jiqiang Zheng
+ PDF Chat	Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations	2020	Xing Cheng
+ PDF Chat	On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide $\mathbb R^2 \times \mathbb T$	2020	Xing Cheng Zihua Guo Kailong Yang Lifeng Zhao
+	Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions	2020	Xing Cheng Zihua Guo Satoshi Masaki
+ PDF Chat	On Scattering for the Defocusing Quintic Nonlinear Schrödinger Equation on the Two-Dimensional Cylinder	2020	Xing Cheng Zihua Guo Zehua Zhao
+ PDF Chat	Generic Well-posedness for an Inverse Source Problem for a Multi-term Time-fractional Diffusion Equation	2019	Zhiyuan Li Xing Cheng Yikan Liu
+	An inverse problem in time-fractional diffusion equations with nonlinear boundary condition	2019	Zhiyuan Li Xing Cheng Gongsheng Li
+	Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations	2019	Xing Cheng
+	Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold	2019	Xing Cheng Zehua Zhao Jiqiang Zheng
+	On scattering for the defocusing quintic nonlinear Schrödinger equation on the two-dimensional cylinder	2018	Xing Cheng Zihua Guo Zehua Zhao
+	Scattering of solutions to the nonlinear Schrödinger equations with regular potentials	2017	Xing Cheng Ze Li Lifeng Zhao
+	On scattering for the cubic defocusing nonlinear Schrödinger equation on waveguide $\mathbb{R}^2\times \mathbb{T}$	2017	Xing Cheng Zihua Guo Kailong Yang Lifeng Zhao
+ PDF Chat	Non-Scattering of the Solution of the Nonlinear Schr&#246;dinger Equation on the Torus	2017	Xing Cheng Qiang Li
+ PDF Chat	Asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations	2016	Xing Cheng Zhiyuan Li Masahiro Yamamoto
+	Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case	2016	Xing Cheng Changxing Miao Lifeng Zhao
+ PDF Chat	Remark on energy‐critical NLS in 5D	2015	Xing Cheng Yanfang Gao Jiqiang Zheng
+	Decay and scattering of solutions of nonlinear Schr\"odinger equations with regular potentials	2015	Xing Cheng Ze Li
+	Scattering of solutions to nonlinear Schrödinger equations with regular potentials	2015	Xing Cheng Ze Li Lifeng Zhao
+	Impulsive neutral stochastic functional integro-differential equations with infinite delay driven by fBm	2014	Yong Ren Xing Cheng R. Sakthivel
+	A note on the second-order non-autonomous neutral stochastic evolution equations with infinite delay under Carathéodory conditions	2014	Yong Ren Tingting Hou R. Sakthivel Xing Cheng
+	Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case	2014	Xing Cheng Changxing Miao Lifeng Zhao
+ PDF Chat	Blow-up for the focusing energy critical nonlinear Schrödinger equation with confining harmonic potential	2014	Xing Cheng Yanfang Gao
+	On time-dependent stochastic evolution equations driven by fractional Brownian motion in a Hilbert space with finite delay	2013	Yong Ren Xing Cheng R. Sakthivel
+	Small data global well‐posedness for the nonlinear wave equation with nonlocal nonlinearity	2012	Xing Cheng Yanfang Gao

Common Coauthors

Coauthor	Papers Together
Zihua Guo	8
Lifeng Zhao	6
Zhiyuan Li	5
Jiqiang Zheng	4
Zehua Zhao	4
Yanfang Gao	3
R. Sakthivel	3
Yong Ren	3
Ze Li	2
Xian Liao	2
Jia Shen	2
Changxing Miao	2
Kailong Yang	2
Satoshi Masaki	2
Chang‐Yu Guo	2
Masahiro Yamamoto	1
Ming Cheng	1
Yikan Liu	1
Qiang Li	1
Gongsheng Li	1
Zhiwu Lin	1
Ze Li	1
Tingting Hou	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ 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	13
+ PDF Chat	Scattering threshold for the focusing nonlinear Klein–Gordon equation	2011	Slim Ibrahim Nader Masmoudi Kenji Nakanishi	12
+ PDF Chat	Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d=2	2016	Benjamin Dodson	12
+	Nonlinear Dispersive Equations	2006	Terence Tao	11
+	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	11
+ PDF Chat	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	10
+ PDF Chat	Minimal-mass blowup solutions of the mass-critical NLS	2008	Terence Tao Monica Vişan Xiaoyi Zhang	9
+ PDF Chat	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2008	Rowan Killip Monica Vişan Xiaoyi Zhang	9
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	9
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation	2008	Carlos E. Kenig Frank Merle	8
+	The cubic nonlinear Schrödinger equation in two dimensions with radial data	2009	Rowan Killip Terence Tao Monica Vişan	8
+ PDF Chat	Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$	2011	Benjamin Dodson	8
+	Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state	2015	Benjamin Dodson	7
+	The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher	2010	Rowan Killip Monica Vişan	7
+	On the role of quadratic oscillations in nonlinear Schrödinger equations	2003	Rémi Carles Clotilde Fermanian Kammerer Isabelle Gallagher	7
+ PDF Chat	Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation	2007	Pascal Bégout Ana Vargas	7
+ PDF Chat	Global Well-Posedness of the Energy-Critical Defocusing NLS on $${\mathbb{R} \times \mathbb{T}^3}$$	2012	Alexandru D. Ionescu Benoît Pausader	7
+ PDF Chat	On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T<sup>2</sup>	2013	Zaher Hani Benoît Pausader	7
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	6
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	6
+ PDF Chat	Bilinear virial identities and applications	2009	Fabrice Planchon Luis Vega	6
+ PDF Chat	Global well-posedness and scattering for the defocusing quintic NLS in three dimensions	2012	Rowan Killip Monica Vişan	6
+ PDF Chat	Small Data Scattering for the Nonlinear Schrödinger Equation on Product Spaces	2011	Nikolay Tzvetkov Nicola Visciglia	6
+ PDF Chat	Global well-posedness and scattering for the defocusing cubic Schrödinger equation on waveguide ℝ2 × 𝕋2	2019	Zehua Zhao	6
+ PDF Chat	The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities	2007	Terence Tao Monica Vişan Xiaoyi Zhang	5
+	Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions	2011	Monica Vişan	5
+	Nonlinear Schrodinger Equations at Critical Regularity	2013	Rowan Killip Monica Vi	5
+	Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d=4	2019	Benjamin Dodson	5
+ PDF Chat	Global well-posedness and scattering for the defocusing, L 2 -critical, nonlinear Schrödinger equation when d = 1	2016	Benjamin Dodson	5
+ PDF Chat	Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4	2007	E. Ryckman Monica Vişan	5
+ PDF Chat	The Dynamics of the 3D Radial NLS with the Combined Terms	2013	Changxing Miao Guixiang Xu Lifeng Zhao	4
+	Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth	2011	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa	4
+ PDF Chat	Inhomogeneous Strichartz estimates for the Schrödinger equation	2006	Mari Cruz Vilela	4
+	The dynamics of the NLS with the combined terms in five and higher dimensions	2011	Changxing Miao Guixiang Xu Lifeng Zhao	4
+	Invariant Manifolds and Dispersive Hamiltonian Evolution Equations	2011	Kenji Nakanishi Wilhelm Schlag	4
+	None	1998	Franck Merle Luis Vega	4
+ PDF Chat	Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in H1(T3)	2011	Sebastian Herr Daniel Tataru Nikolay Tzvetkov	4
+	Stability of the soliton-like “bubbles”	1989	I. V. Barashenkov A.D Gocheva V.G. Makhankov И.В. Пузынин	4
+ PDF Chat	INHOMOGENEOUS STRICHARTZ ESTIMATES	2005	Damiano Foschi	4
+	On the Defect of Compactness for the Strichartz Estimates of the Schrödinger Equations	2001	Sahbi Keraani	4
+	Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation	1996	Dmitry E. Pelinovsky V. V. Afanasjev Yuri S. Kivshar	4
+ PDF Chat	A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces	2007	Herbert Koch Daniel Tataru	4
+ PDF Chat	Energy-Critical NLS with Quadratic Potentials	2009	Rowan Killip Monica Vişan Xiaoyi Zhang	4
+ PDF Chat	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain	4
+ PDF Chat	Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d$4d$ and applications	2012	Sebastian Herr Daniel Tataru Nikolay Tzvetkov	4
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	4
+	Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth	2012	Takafumi Akahori Slim Ibrahim Hiroaki Kikuchi Hayato Nawa	4
+	Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems	2011	Kenichi Sakamoto Masahiro Yamamoto	4
+ PDF Chat	On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case	2006	Rémi Carles Sahbi Keraani	4
+ PDF Chat	On the global well-posedness of energy-critical Schrödinger equations in curved spaces	2012	Alexandru D. Ionescu Benoît Pausader Gigliola Staffilani	4