Sijia Zhong

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All published works

Action	Title	Year	Authors
+ PDF Chat	Right this way: Can VLMs Guide Us to See More to Answer Questions?	2024	Li Liu Diji Yang Sijia Zhong Kalyana Suma Sree Tholeti Ding Lei Ying Zhang Leilani H. Gilpin
+	The stochastic derivative nonlinear Schrödinger equation	2017	Sijia Zhong
+	Cauchy problem of Schrödinger-Improved Boussinesq Systems on the torus	2014	Sijia Zhong
+ PDF Chat	The Cauchy Problem of Null Form Wave Equation on <b><i>T</i></b><sup><i>d</i></sup> with Random Initial Data	2012	Sijia Zhong
+ PDF Chat	Global existence of solutions to Schrödinger equations on compact riemannian manifolds below $H^1$	2010	Sijia Zhong
+ PDF Chat	L<sup>2</sup>-CONCENTRATION PHENOMENON FOR ZAKHAROV SYSTEM BELOW ENERGY NORM	2009	Daoyuan Fang Sijia Zhong
+	$L^2$-concentration phenomenon for Zakharov system below energy norm II	2009	Sijia Zhong Daoyuan Fang
+	Low regularity global well-posedness for the two-dimensional Zakharov system	2009	Daoyuan Fang Hartmut Pecher Sijia Zhong
+	The growth in time of higher Sobolev norms of solutions to Schrödinger equations on compact Riemannian manifolds	2008	Sijia Zhong
+	Low regularity global well-posedness for the two-dimensional Zakharov system	2008	Daoyuan Fang Hartmut Pecher Sijia Zhong
+	L^2-concentration phenomenon for Zakharov system below energy norm	2007	Daoyuan Fang Sijia Zhong
+	Global existence for nonlinear Klein–Gordon equations in infinite homogeneous waveguides in two dimensions	2006	Daoyuan Fang Changqing Tong Sijia Zhong
+	Global solutions for nonlinear Klein–Gordon equations in infinite homogeneous waveguides	2006	Daoyuan Fang Sijia Zhong
+	Cauchy problem for the -critical nonlinear Schrödinger equation below	2005	Daoyuan Fang Sijia Zhong

Common Coauthors

Coauthor	Papers Together
Daoyuan Fang	8
Hartmut Pecher	2
Diji Yang	1
Ying Zhang	1
Li Liu	1
Kalyana Suma Sree Tholeti	1
Changqing Tong	1
Leilani H. Gilpin	1
Ding Lei	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Cauchy Problem for the Zakharov System	1997	J. Ginibre Yoshio Tsutsumi G. Velo	7
+ PDF Chat	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	6
+ PDF Chat	Multilinear estimates for periodic KdV equations, and applications	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	6
+	"Mass concentration" phenomenon for the nonlinear Schrodinger equation with the critical power nonlinearity	1992	Hayato Nawa	4
+	Equations of Langmuir turbulence and nonlinear Schrödinger equation: Smoothness and approximation	1988	Hélène Added Stéphane Added	4
+ PDF Chat	Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1$	2005	J. Colliander Sarah Raynor Catherine Sulem James Wright	4
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	4
+	On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations	1986	Michael I. Weinstein	3
+ PDF Chat	Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems	2008	J. Colliander Justin Holmer Nikolaos Tzirakis	3
+ PDF Chat	A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative	2002	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao	2
+	Global Solutions of Nonlinear Schrödinger Equations	1999	J. Bourgain	2
+ PDF Chat	L<sup>2</sup>-CONCENTRATION PHENOMENON FOR ZAKHAROV SYSTEM BELOW ENERGY NORM	2009	Daoyuan Fang Sijia Zhong	2
+ PDF Chat	Bilinear eigenfunction estimates and the nonlinear Schr�dinger equation on surfaces	2004	Nicolas Burq Patrick G�rard Nikolay Tzvetkov	2
+	Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds	2006	Jean-Marc Delort Jérémie Szeftel	2
+	Global existence of small amplitude solutions to nonlinear klein‐gordon equations in four space‐time dimensions	1985	Sergiù Klainerman	2
+ PDF Chat	Nonlinear Hyperbolic Equations in Infinite Homogeneous Waveguides	2005	Jason Metcalfe Christopher D. Sogge Ann Ann Stewart	2
+	Global existence of small solutions for quadratic quasilinear Klein–Gordon systems in two space dimensions	2004	Jean-Marc Delort Daoyuan Fang Ruying Xue	2
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	2
+	L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity	1990	Frank Merle Yoshio Tsutsumi	2
+ PDF Chat	``Mass concentration'' phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. II.	1990	Hayato Nawa	2
+	Large time asymptotics of solutions to nonlinear Klein-Gordon systems	2005	Hideaki Sunagawa	2
+	The nonlinear Schr�dinger limit of the Zakharov equations governing Langmuir turbulence	1986	Steven Schochet Michael I. Weinstein	2
+	Invariant measure for a three dimensional nonlinear wave equation	2007	Nicolas Burq Nikolay Tzvetkov	1
+ PDF Chat	Well-posedness for the Schroedinger-Improved Boussinesq System and Related Bilinear Estimates	2007	Takafumi Akahori	1
+	The Stochastic Nonlinear Schrödinger Equation in<i>H</i><sup>1</sup>	2003	Anne de Bouard Arnaud Debussche	1
+ PDF Chat	Convolutions of singular measures and applications to the Zakharov system	2011	Ioan Bejenaru Sebastian Herr	1
+ PDF Chat	BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS	2002	Sergiù Klainerman Sigmund Selberg	1
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein	1
+	White Noise Driven Korteweg–de Vries Equation	1999	Anne de Bouard Arnaud Debussche Yoshio Tsutsumi	1
+	Global solutions for nonlinear Klein–Gordon equations in infinite homogeneous waveguides	2006	Daoyuan Fang Sijia Zhong	1
+	Quadratic forms for a 2-D semilinear Schrödinger equation	1997	Gigliola Staffilani	1
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	1
+	Exponential sums and nonlinear Schrödinger equations	1993	Jean Bourgain	1
+ PDF Chat	Some remarks on Strichartz estimates for homogeneous wave equation	2005	Daoyuan Fang Chengbo Wang	1
+	Local regularity of nonlinear wave equations in three space dimensions	1993	Gustavo Ponce Thomas C. Sideris	1
+ PDF Chat	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss	1
+ PDF Chat	Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms	2006	Hideaki Sunagawa	1
+ PDF Chat	A relation between pointwise convergence of functions and convergence of functionals	1983	Haı̈m Brezis Élliott H. Lieb	1
+ PDF Chat	Nonlinear Wave Equations in Infinite Waveguides	2003	Peter H. Lesky Reinhard Racke	1
+	Invariant measures for a stochastic nonlinear Schroedinger equation	2006	Jong Uhn Kim	1
+	A remark on normal forms and the “I-method” for periodic NLS	2004	Jean Bourgain	1
+ PDF Chat	Global Well-Posedness for Schrödinger Equations with Derivative	2001	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao	1
+	On the lowest eigenvalue of the Laplacian for the intersection of two domains	1983	Élliott H. Lieb	1
+ PDF Chat	Periodic Solutions of the Korteweg--de Vries Equation Driven by White Noise	2004	Anne de Bouard Arnaud Debussche Yoshio Tsutsumi	1
+	FROM THE KLEIN–GORDON–ZAKHAROV SYSTEM TO THE NONLINEAR SCHRÖDINGER EQUATION	2005	Nader Masmoudi Kenji Nakanishi	1
+ PDF Chat	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega	1
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrodinger equations, II. The KdV-equation	1993	Jean Bourgain	1
+ PDF Chat	Counterexamples to local existence for quasilinear wave equations	1998	Hans Lindblad	1
+ PDF Chat	Bounded almost global solutions for non hamiltonian semi-linear Klein-Gordon equations with radial data on compact revolution hypersurfaces	2006	Jean-Marc Delort Jérémie Szeftel	1
+ PDF Chat	Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terry Tao	1