Guixiang Xu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Dynamics of radial threshold solutions for generalized energy-critical Hartree equation	2025	LI Xue-mei Chenxi Liu Xingdong Tang Guixiang Xu
+ PDF Chat	Global well-posedness of the defocusing nonlinear wave equation outside of a ball with radial data for $3<p<5$	2025	Guixiang Xu Pengxuan Yang Z. You
+ PDF Chat	Global well-posedness of the defocusing, cubic nonlinear wave equation outside of the ball with radial data	2024	Guixiang Xu Pengxuan Yang
+ PDF Chat	A limiting absorption principle for high-order Schrödinger operators in critical spaces	2023	Xiaoyan Su Chengbin Xu Guixiang Xu Xiaoqing Yu
+ PDF Chat	Entire Sign-Changing Solutions to The Fractional Critical Schr{\"O}Dinger Equation	2023	Xingdong Tang Guixiang Xu Chunyan Zhang Jihui Zhang
+	Nondegeneracy of positive bubble solutions for generalized energy-critical Hartree equations	2023	Xue-Mei Li Chenxi Liu Xingdong Tang Guixiang Xu
+	Dynamics of radial threshold solutions for generalized energy-critical Hartree equation	2023	Xuemei Li Chenxi Liu Xingdong Tang Guixiang Xu
+	Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in ℝ⁶	2022	LI Xue-mei Xingdong Tang Guixiang Xu
+	Riesz transforms and Sobolev spaces associated to the partial harmonic oscillator	2022	Xiaoyan Su Ying Wang Guixiang Xu
+ PDF Chat	Instability of the solitary waves for the 1d NLS with an attractive delta potential in the degenerate case	2022	Xingdong Tang Guixiang Xu
+	A Mikhlin--Hörmander multiplier theorem for the partial harmonic oscillator	2022	Xiaoyan Su Ying Wang Guixiang Xu
+	Minimal mass blow-up solutions for the $L^2$-critical NLS with the Delta potential for radial data in one dimension	2021	Xingdong Tang Guixiang Xu
+	Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in $\R^6$	2021	Xue-Mei Li Xingdong Tang Guixiang Xu
+ PDF Chat	Microscopic conservation laws for the derivative Nonlinear Schr\"{o}dinger equation	2020	Xingdong Tang Guixiang Xu
+ PDF Chat	Almost sharp global well-posedness for the defocusing Hartree equation with radial data in $\mathbb R^5$	2020	Xingjian Mu Xingdong Tang Guixiang Xu Jianwei Yang
+	Entire sign-changing solutions to the fractional critical Schr{ö}dinger equation	2020	Xingdong Tang Guixiang Xu Chunyan Zhang Jihui Zhang
+ PDF Chat	On the Dispersive Estimate for the Dirichlet Schrödinger Propagator and Applications to Energy Critical NLS	2014	Dong Li Guixiang Xu Xiaoyi Zhang
+	Low Regularity Global Solutions for the Focusing Mass-Critical NLS in $\mathbb{R}$	2011	Yongsheng Li Yifei Wu Guixiang Xu
+	Global well-posedness for Schr\	2009	Changxing Miao Yifei Wu Guixiang Xu
+	The Cauchy problem for the Rosenau equation	2008	Shubin Wang Guixiang Xu
+	The Cauchy problem for the $L^2$-critical focusing Hartree equation in three dimensions	2007	Changxing Miao Guixiang Xu Lifeng Zhao
+	On the blow up phenomenon for the $L^2$-critical focusing Hartree equation in $\Bbb R^3$	2007	Changxing Miao Guixiang Xu Lifeng Zhao
+	Cauchy problem for the generalized Benney-Luke equation	2007	Shubin Wang Guixiang Xu Guowang Chen
+	Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity	2003	Guixiang Xu Jihui Zhang

Common Coauthors

Coauthor	Papers Together
Xingdong Tang	11
Jihui Zhang	3
Changxing Miao	3
Shubin Wang	2
Chunyan Zhang	2
Chenxi Liu	2
Xue-Mei Li	2
Lifeng Zhao	2
LI Xue-mei	2
Xiaoyan Su	2
Pengxuan Yang	2
Xingjian Mu	1
Z. You	1
Yifei Wu	1
Ying Wang	1
Guowang Chen	1
Xuemei Li	1
Xiaoqing Yu	1
Jianwei Yang	1
Yifei Wu	1
Ying Wang	1
Xiaoyan Su	1
Xiaoyi Zhang	1
Chenxi Liu	1
Chengbin Xu	1
Yongsheng Li	1
Dong Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Nonlinear Dispersive Equations	2006	Terence Tao	2
+	The Cauchy Problem for the Generalized IMBq Equation in Ws,p(Rn)	2002	Shubin Wang Guowang Chen	2
+	Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank	2019	María Medina Monica Musso Juncheng Wei	2
+ PDF Chat	Fast Soliton Scattering by Delta Impurities	2007	Justin Holmer Jeremy L. Marzuola Maciej Zworski	2
+	Lyapunov stability of ground states of nonlinear dispersive evolution equations	1986	Michael I. Weinstein	2
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	2
+ PDF Chat	Threshold solutions for the focusing 3D cubic Schrödinger equation	2010	Thomas Duyckaerts Svetlana Roudenko	2
+	Scattering for NLS with a delta potential	2015	Valeria Banica Nicola Visciglia	2
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	2
+ PDF Chat	Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions	2009	Dong Li Xiaoyi Zhang	2
+ PDF Chat	Nondegeneracy of the bubble in the critical case for nonlocal equations	2013	Juan Dávila Manuel del Pino Yannick Sire	2
+	Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations	1974	Howard A. Levine	2
+	Large energy entire solutions for the Yamabe equation	2011	Manuel del Pino Monica Musso Frank Pacard Angela Pistoia	2
+ PDF Chat	Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS	2010	Pierre Raphaël Jérémie Szeftel	2
+	Modulational Stability of Ground States of Nonlinear Schrödinger Equations	1985	Michael I. Weinstein	2
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein	2
+	Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation	1995	Yue Liu	2
+	Dynamic of Threshold Solutions for Energy-Critical NlS	2009	Thomas Duyckaerts Frank Merle	2
+ PDF Chat	Dynamics for the focusing, energy-critical nonlinear Hartree equation	2012	Changxing Miao Yifei Wu Guixiang Xu	2
+	Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems	1990	Michaël Struwe	2
+ PDF Chat	Doubling nodal solutions to the Yamabe equation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math> with maximal rank	2021	María Medina Monica Musso	2
+ PDF Chat	Uniqueness of ground states for pseudorelativistic Hartree equations	2009	Enno Lenzmann	2
+	Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators	1987	Carlos E. Kenig Alberto Ruiz Christopher D. Sogge	1
+	Finite Difference Approximate Solutions for	1998	S.K. Chung	1
+	On a conformally invariant elliptic equation onR n	1986	Weiyue Ding	1
+	Uniqueness of non-linear ground states for fractional Laplacians in ${\mathbb{R}}$	2013	Rupert L. Frank Enno Lenzmann	1
+	Spectrally Stable Encapsulated Vortices for Nonlinear Schrödinger Equations	2002	Robert L. Pego Warchall	1
+ PDF Chat	Spectra of Linearized Operators for NLS Solitary Waves	2007	Shu-Ming Chang Stephen J. Gustafson Kenji Nakanishi Tai‐Peng Tsai	1
+ PDF Chat	Scattering theory in the energy space for a class of Hartree equations	2000	J. Ginibre G. Velo	1
+	Finite element galerkin solutions for the rosenau equation	1994	S.K. Chung Sung Nam Ha	1
+	None	2005	Axel Grünrock	1
+ PDF Chat	Uniqueness of Radial Solutions for the Fractional Laplacian	2015	Rupert L. Frank Enno Lenzmann Luís Silvestre	1
+ PDF Chat	On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D	2001	Galina Perelman	1
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	1
+	Non trivial L q solutions to the Ginzburg-Landau equation	2003	Susana Gutiérrez	1
+	Positive Solutions To A Second Order Three Point Boundary Value Problem	2000	Nelson Castañeda Ruyun Ma	1
+ PDF Chat	Problèmes isopérimétriques et espaces de Sobolev	1976	Thierry Aubin	1
+	Dynamics for the energy critical nonlinear wave equation in high dimensions	2010	Dong Li Xiao-Yi Zhang	1
+	Spherical Harmonics and Approximations on the Unit Sphere: An Introduction	2012	Kendall Atkinson Weimin Han	1
+	Nonlinear Schrödinger equation with a point defect	2007	Reika Fukuizumi Masahito Ohta Tohru Ozawa	1
+	Global existence of solutions for a strongly coupled quasilinear parabolic system	1990	Maria Assunta Pozio Alberto Tesei	1
+	Sharp upper bound on the blow-up rate for the critical nonlinear Schr�dinger equation	2003	Frank Merle Pierre Raphaël	1
+	Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities	2002	Élliott H. Lieb	1
+	Exotic blowup solutions for the u5 focusing wave equation in ℝ3	2014	Roland Donninger Min Huang Joachim Krieger Wilhelm Schlag	1
+	Comparisons between model equations for long waves	1991	John Albert Jerry L. Bona	1
+	Stability of the log-log bound for blow up solutions to the critical non linear Schr�dinger equation	2005	Pierre Raphaël	1
+	A class of fourth order wave equations with dissipative and nonlinear strain terms	2007	Yacheng Liu Runzhang Xu	1
+	Nonlinear stability of solitary waves for a 2-d Benney--Luke equation	2005	José R. Quintero	1
+	Best constants for Sobolev inequalities for higher order fractional derivatives	2004	Athanase Cotsiolis Nikolaos K. Tavoularis	1
+	Uniqueness of positive solutions of Δu−u+up=0 in Rn	1989	Man Kam Kwong	1