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RESEARCH INSTERESTS |
I. Harmonic Analysis on Manifolds:
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II. Nonlinear differential equations:
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THESIS |
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PUBLICATIONS |
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Xiangjin Xu, Heat kernel Gaussian bounds on manifolds I: manifolds with non-negative Ricci curvature, arXiv:1912.12758 [math.DG] () Xiangjin Xu, Sharp Gradient and Laplacian Estimates for the Heat Kernel on Complete Manifolds with Nonnegative Ricci Curvature, preprint. () Xiangjin Xu, Heat kernel Gaussian bounds on manifolds II: manifolds with negative Ricci curvature, preprint. () Xiangjin Xu, Sharp Hamilton's Gradient and Laplacian Estimates on noncompact manifolds. preprint. () Xiangjin Xu, Differential Harnack inequalities on Riemannian manifolds II: Schr\"odinger operator. () Xiangjin Xu, Multiple periodic solutions of super-quadratic Hamiltonian systems with bounded forcing terms. () Xiangjin Xu, Periodic and subharmonic solutions of Hamiltonian systems possessing "super-quadratic" potentials. () |
My research is partially supported by the NSF Grant NSF-DMS 0602151(June 1 2006-November 30, 2008) and NSF-DMS-0852507 (June 1, 2008-May 31, 2010), and partially supported by Harpur College Grant in Support of Research, Scholarship and Creative Work in Year 2010-2011, 2012-2013, 2018-2019. |
Last updated: 05/01/2015