people:xxu:xxu-personal
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people:xxu:xxu-personal [2025/11/06 12:41] xxu |
people:xxu:xxu-personal [2026/01/29 11:23] (current) xxu |
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| <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | ||
| - | <B>Xiangjin Xu</B>, Sharp Hamilton's Gradient and Laplacian Estimates on noncompact manifolds. (Submitted April 2025) | + | <B>Xiangjin Xu</B>, Sharp Gradient and Laplacian Estimates for the Logarithmic Heat Kernel on Complete Manifolds with Nonnegative Ricci Curvature. (Submitted April 2025) |
| (<A HREF="Xu-HeatKernel-II.pdf"></A>)</FONT></P> | (<A HREF="Xu-HeatKernel-II.pdf"></A>)</FONT></P> | ||
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| <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | ||
| - | <B>Xiangjin Xu</B>, Differential Harnack inequalities on Riemannian manifolds II: Schr\"odinger operator. (In Progress) (<A HREF="LX-DHI-II.pdf"></A>)</FONT></P> | + | <B>Xiangjin Xu</B>, Differential Harnack inequalities on Riemannian manifolds II: Schr\"odinger operator. (preprint) (<A HREF="LX-DHI-II.pdf"></A>)</FONT></P> |
| <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | ||
| - | <B>Xiangjin Xu</B>, The Perelman-type entropy formula for linear heat equation on noncompact manifolds. (In Progress) (<A HREF="LX-DHI-II.pdf"></A>)</FONT></P> | + | <B>Xiangjin Xu</B>, The Perelman-type entropy formula for linear heat equation on noncompact manifolds. (preprint) (<A HREF="LX-DHI-II.pdf"></A>)</FONT></P> |
| <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | ||
| - | <B>Xiangjin Xu</B>, New uniqueness criteria of tangent cones for manifolds with nonnegative Ricci curvature. (In Progress) (<A HREF="LX-DHI-II.pdf"></A>)</FONT></P> | + | <B>Xiangjin Xu</B>, New uniqueness criteria of tangent cones for manifolds with nonnegative Ricci curvature. (preprint) (<A HREF="LX-DHI-II.pdf"></A>)</FONT></P> |
| <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | ||
| - | <B>Xiangjin Xu</B>, Multiple periodic solutions of super-quadratic Hamiltonian systems with bounded forcing | + | <B>Xiangjin Xu</B>, Pricise estimates on the rates to equilibrium of the heat kernels on compact rank one symmetric spaces. (preprint) (<A HREF="Xu-HS-BF.pdf"></A>)</FONT></P> |
| - | terms.(In Progress) (<A HREF="Xu-HS-BF.pdf"></A>)</FONT></P> | + | |
| <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | ||
| - | <B>Xiangjin Xu</B>, Periodic and subharmonic solutions of Hamiltonian systems possessing "super-quadratic" potentials. (In Progress) (<A HREF="Xu-HS-SQ.pdf"></A>)</FONT></P> | + | <B>Xiangjin Xu</B>, Periodic and subharmonic solutions of Hamiltonian systems possessing "super-quadratic" potentials. (preprint) (<A HREF="Xu-HS-SQ.pdf"></A>)</FONT></P> |
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| + | <LI><P><FONT SIZE=4 STYLE="font-size: 16pt"> | ||
| + | <B>Xiangjin Xu</B>, Characterization of Carleson Measures via Spectral Estimates for Dirichlet Laplacian. (preprint) (<A HREF="Xu-HS-SQ.pdf"></A>)</FONT></P> | ||
| </OL> | </OL> | ||
people/xxu/xxu-personal.1762450918.txt · Last modified: 2025/11/06 12:41 by xxu