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">Δ</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 $u_t=ΔF(u)$ 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
+ L〓p〓 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
Shing‐Tung 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