American Journal of Mathematics and Statistics

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

Xiangjin XU

Editorial Board Member of American Journal of Mathematics and Statistics

Assistant Professor, Binghamton University-SUNY, USA

Research Areas

Harmonic Analysis on Manifolds and Nonlinear Differential Equations

Education

2004PhDMathematics, Johns Hopkins University
1999M.S.Mathematics, Chern Institute of Mathematics
1996B.S. Mathematics, Nankai University

Experience

2008Centre de Recherches Mathematiques, Universite de Montreal, Postdoctoral Fellow
2007-currentDepartment of Mathematical Sciences, Binghamton University-SUNY, Assistant Professor
2005Mathematical Sciences Research Institute in Berkeley, Postdoctoral Fellow
2004-2007Department of Mathematics, University of Virginia, Whyburn Instructor

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  Xiangjin Xu, Subharmonic solutions of a class of non-autonomous Hamiltonian systems. Acta Sci. Nat. Univer. Nankai. Vol. 32, No.2, (1999), pp. 46-50.
[2]  Yiming Long, Xiangjin Xu, Periodic solutions for a class of nonautonomous Hamiltonian systems. Nonlinear Anal. Ser. A: Theory Methods, 41 (2000), no. 3-4, 455-463.
[3]  Xiangjin Xu, Homoclinic orbits for first order Hamiltonian systems possessing super-quadratic potentials. Nonlinear Anal. Ser. A: Theory Methods, 51 (2002), no. 2, 197-214.
[4]  Xiangjin Xu, Periodic solutions for non-autonomous Hamiltonian systems possessing super-quadratic potentials. Nonlinear Anal. Ser. A: Theory Methods, 51 (2002), no. 6, 941-955.
[5]  Xiangjin Xu, Subharmonics for first order convex nonautonomous Hamiltonian systems. J. Dynam. Differential Equations 15 (2003), no. 1, 107-123.
[6]  Xiangjin Xu, Multiple solutions of super-quadratic second order dynamical systems. Discrete Contin. Dyn. Syst. 2003, suppl., 926-934.
[7]  Xiangjin Xu, Sub-harmonics of first order Hamiltonian systems and their asymptotic behaviors. Discrete Contin. Dyn. Syst. Ser. B 3 (2003), no. 4, 643-654.
[8]  Xiangjin Xu, Homoclinic orbits for first order Hamiltonian systems with convex potentials. Advanced Nonlinear Studies 6 (2006), 399-410.
[9]  Xiangjin Xu, New Proof of H\"ormander Multiplier Theorem on Compact manifolds without boundary. Proc. Amer. Math. Soc. 135 (2007), 1585-1595.
[10]  Roberto Triggiani, Xiangjin Xu, Pointwise Carleman Estimates, Global Uniqueness, Observability, and Stabilization for Schr\"odinger Equations on Riemannian Manifolds at the $H^1$-Level. AMS Contemporary Mathematics, Volume 426, 2007, 339-404.
[11]  Xiangjin Xu, Gradient estimates for eigenfunctions of compact manifolds with boundary and the H\"ormander multiplier theorem. Forum Mathematicum 21:3 (May 2009), pp. 455-476.
[12]  Xiangjin Xu, Eigenfunction estimates for Neumann Laplacian on compact manifolds with boundary and multiplier problems. Proc. Amer. Math. Soc. 139 (2011), 3583-3599.
[13]  Junfang Li, Xiangjin Xu, Differential Harnack inequalities on Riemannian manifolds I : linear heat equation.Advance in Mathematics, Volume 226, Issue 5, (March, 2011) Pages 4456-4491 doi:10.1016/j.aim.2010.12.009
[14]  Liangui Wang, Xiangjin Xu, Hybrid state feedback, robust $H_{\infty}$ control for a class switched systems with nonlinear uncertainty. (Accepted by conference proceeding of CSIE2011 , to be published in the Springer Lecture Notes in Electrical Engineering (LNEE))
[15]  Xiangjin Xu, Gradient estimates for $u_t=\Delta F(u)$ on manifolds and some Liouville-type theorems. Journal of Differential Equation (2011) doi:10.1016/j.jde.2011.08.004
[16]  Xiangjin Xu, Upper and lower bounds for normal derivatives of spectral clusters of Dirichlet Laplacian. Journal of Mathematical Analysis and Applications (2011) doi:10.1016/j.jmaa.2011.09.003