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Xiangjin Xu
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All published works
Action
Title
Year
Authors
+
Characterization of Carleson Measures via Spectral Estimates on Compact Manifolds with Boundary
2024
Xiangjin Xu
+
Heat kernel Gaussian bounds on manifolds I: manifolds with non-negative Ricci curvature
2019
Xiangjin Xu
+
Upper and lower bounds for normal derivatives of spectral clusters of Dirichlet Laplacian
2011
Xiangjin Xu
+
Gradient estimates for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Î</mml:mi><mml:mi>F</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> on manifolds and some Liouville-type theorems
2011
Xiangjin Xu
+
PDF
Chat
Eigenfunction estimates for Neumann Laplacian and applications to multiplier problems
2011
Xiangjin Xu
+
Differential Harnack inequalities on Riemannian manifolds I: Linear heat equation
2010
Junfang Li
Xiangjin Xu
+
Upper and lower bounds for normal derivatives of spectral clusters of Dirichlet Laplacian
2010
Xiangjin Xu
+
Gradient estimates for the eigenfunctions on compact manifolds with boundary and Hörmander Multiplier Theorem
2009
Xiangjin Xu
+
Differential Harnack inequalities on Riemannian manifolds I : linear heat equation
2009
Junfang Li
Xiangjin Xu
+
Gradient estimates for the degenerate parabolic equation $u_t=\Delta F(u)$ on manifolds and some Liouville theorems of Porous Media Equations
2008
Xiangjin Xu
+
Gradient estimates for the degenerate parabolic equation $u_t=\Delta F(u)$ on manifolds and some Liouville-type theorems
2008
Xiangjin Xu
+
Gradient estimates for $u_t=\Delta F(u)$ on manifolds and some Liouville-type theorems
2008
Xiangjin Xu
+
Gradient estimates for $u_t=ÎF(u)$ on manifolds and some Liouville-type theorems
2008
Xiangjin Xu
+
New proof of the Hörmander multiplier theorem on compact manifolds without boundary
2007
Xiangjin Xu
+
PDF
Chat
Homoclinic Orbits For First Order Hamiltonian Systems With Convex Potentials
2006
Xiangjin Xu
+
Eigenfunction Estimates on Compact Manifolds with Boundary and Hormander Multiplier Theorem
2004
Xiangjin Xu
+
Multiple solutions of super-quadratic second order dynamical systems
2003
Xiangjin Xu
+
None
2003
Xiangjin Xu
+
Sub-harmonics of first order Hamiltonian systems and their asymptotic behaviors
2003
Xiangjin Xu
+
Homoclinic orbits for first order hamiltonian systems possessing super-quadratic potentials
2002
Xiangjin Xu
+
Periodic solutions for non-autonomous Hamiltonian systems possessing super-quadratic potentials
2002
Xiangjin Xu
+
Periodic solutions for a class of nonautonomous Hamiltonian systems
2000
Yiming Long
Xiangjin Xu
Common Coauthors
Coauthor
Papers Together
Junfang Li
2
Yiming Long
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Concerning the Lp norm of spectral clusters for second-order elliptic operators on compact manifolds
1988
Christopher D. Sogge
7
+
The analysis of linear partial differential operators
1990
Lars Hörmander
6
+
PDF
Chat
UNIFORM BOUNDS FOR EIGENFUNCTIONS OF THE LAPLACIAN ON MANIFOLDS WITH BOUNDARY*
2002
Daniel Grieser
6
+
Fourier Integrals in Classical Analysis
2017
Christopher D. Sogge
6
+
PDF
Chat
Eigenfunction and Bochner Riesz estimates on manifolds with boundary
2002
Christopher D. Sogge
5
+
PDF
Chat
The spectral function of an elliptic operator
1968
Lars Hörmander
5
+
New proof of the Hörmander multiplier theorem on compact manifolds without boundary
2007
Xiangjin Xu
5
+
PDF
Chat
Matrix Harnack estimate for the heat equation
1993
Richard S. Hamilton
5
+
PDF
Chat
Elliptic Partial Differential Equations of Second Order
2001
David Gilbarg
Neil S. Trudinger
5
+
PDF
Chat
On the parabolic kernel of the Schrödinger operator
1986
Peter Li
Shing Tung Yau
5
+
Periodic solutions of perturbed superquadratic hamiltonian systems
1990
Yiming Long
4
+
PDF
Chat
On the critical semilinear wave equation outside convex obstacles
1995
Hart F. Smith
Christopher D. Sogge
4
+
Gradient estimates for the eigenfunctions on compact manifolds with boundary and Hörmander Multiplier Theorem
2009
Xiangjin Xu
4
+
Eigenfunction Estimates on Compact Manifolds with Boundary and Hormander Multiplier Theorem
2004
Xiangjin Xu
4
+
Lăpă bounds for eigenfunctions and spectral projections of the Laplacian near concave boundaries
1992
Daniel Grieser
4
+
Minimax Methods in Critical Point Theory with Applications to Differential Equations
1986
P. Rabinowitz
4
+
Fourier Integrals in Classical Analysis
1993
Christopher D. Sogge
4
+
Introduction to Fourier Analysis on Euclidean Spaces.
1971
Elias M. Stein
Guido Weiss
4
+
PDF
Chat
On the Lp norm of spectral clusters for compact manifolds with boundary
2007
Hart F. Smith
Christopher D. Sogge
4
+
The Analysis of Linear Partial Differential Operators III
2007
Lars Hörmander
4
+
On the boundedness of functions of (pseudo-) differential operators on compact manifolds
1989
Andreas Seeger
Christopher D. Sogge
4
+
Periodic solutions for a class of nonautonomous Hamiltonian systems
2000
Yiming Long
Xiangjin Xu
4
+
An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
1980
R. Seeley
4
+
Derivatives of the Spectral Function and Sobolev Norms of Eigenfunctions on a Closed Riemannian Manifold
2004
Bin Xu
4
+
PDF
Chat
Riemannian manifolds with maximal eigenfunction growth
2002
Christopher D. Sogge
Steve Zelditch
4
+
Homoclinic orbits in a first order superquadratic hamiltonian system: Convergence of subharmonic orbits
1991
Kazunaga Tanaka
4
+
On subharmonic solutions of hamiltonian systems
1980
Paul H. Rabinowitz
3
+
On the Convergence of Riesz Means on Compact Manifolds
1987
Christopher D. Sogge
3
+
On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
1981
Siu Yuen Cheng
Peter Li
ShingâTung Yau
3
+
Periodic solutions of hamiltonian systems
1978
Paul H. Rabinowitz
3
+
PDF
Chat
Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
2002
Andrew Hassell
Terence Tao
3
+
The weak typeL 1 convergence of eigenfunction expansions for pseudodifferential operators
1988
Francis Michael Christ
Christopher D. Sogge
3
+
Homoclinic orbits of a Hamiltonian system
1999
Yang Ding
Michel Willem
3
+
Pseudo differential operators
1974
Michael E. Taylor
3
+
PDF
Chat
Plancherel-type estimates and sharp spectral multipliers
2002
Xuan Thinh Duong
El Maati Ouhabaz
Adam Sikora
3
+
Homoclinic orbits for first order hamiltonian systems possessing super-quadratic potentials
2002
Xiangjin Xu
3
+
PDF
Chat
The small-time asymptotics of the heat kernel at the cut locus
2007
Robert W. Neel
2
+
PDF
Chat
Eigenfunction estimates for Neumann Laplacian and applications to multiplier problems
2011
Xiangjin Xu
2
+
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
1990
Helmut Hofer
Krzysztof Wysocki
2
+
PDF
Chat
SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
2006
Philippe Souplet
Qi S. Zhang
2
+
PDF
Chat
Estimates of derivatives of the heat kernel on a compact Riemannian manifold
1999
Elton P. Hsu
2
+
The entropy formula for the Ricci flow and its geometric applications
2002
Grisha Perelman
2
+
Periodic solutions of large norm of Hamiltonian systems
1983
Paul H. Rabinowitz
2
+
Diffusion processes in a small time interval
1967
S. R. S. Varadhan
2
+
Subharmonics for convex nonautonomous hamiltonian systems
1987
Ivar Ekeland
Helmut Hofer
2
+
Asymptotic property of eigenfunction of the Laplacian at the boundary
1993
Shin Ozawa
2
+
Sub-harmonics of first order Hamiltonian systems and their asymptotic behaviors
2003
Xiangjin Xu
2
+
Maximum Principles in Differential Equations
1984
Murray H. Protter
Hans F. Weinberger
2
+
Constrained and linear Harnack inequalities for parabolic equations
1997
Bennett Chow
Richard S. Hamilton
2
+
Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
2007
Junfang Li
2