people:xxu:xxu-personal
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people:xxu:xxu-personal [2026/04/06 08:13] xxu |
people:xxu:xxu-personal [2026/04/15 18:22] (current) xxu |
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| - | Detailed study of the spectral theory of elliptic operators (Laplace operator and Schrödinger operator) on compact or complete manifolds, in particular, on the growth estimates (Lp, bilinear, and gradient estimates) of eigenfunctions, multiplier problems, Carleson measures and Logvinenko-Sereda sets on compact or complete manifolds with or without boundary. | + | Detailed study of the spectral theory of elliptic operators (Laplace operator and Schrödinger operator) on compact or complete manifolds. Mainly focus on on the growth estimates (Lp, bilinear, and gradient estimates) of eigenfunctions and spectral clusters, and apply these estimates to multiplier problems, characterization of $L^p$-Carleson measures and $L^p$-Logvinenko-Sereda sets on compact or complete manifolds with or without boundary. |
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| - | Xing Wang,<B>Xiangjin Xu</B>, Cheng Zhang, $L^p$-Logvinenko-Sereda sets and $L^p$-Carleson measures on compact manifolds. arXiv:2506.22759 [math.AP]. (Accepted by Advance in Mathematics, 2026) | + | Xing Wang,<B>Xiangjin Xu</B>, Cheng Zhang, $L^p$-Logvinenko-Sereda sets and $L^p$-Carleson measures on compact manifolds. Adv. Math. Volume 494, June 2026, 110958 <A HREF="https://doi.org/10.1016/j.aim.2026.110958"> https://doi.org/10.1016/j.aim.2026.110958 <A HREF="arXiv:2506.22759"></A>arXiv:2506.22759 [math.AP]. |
| - | (<A HREF=".pdf"></A>)</FONT></P> | + | </FONT></P> |
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| (<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"> | ||
| + | <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> | ||
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| <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> | <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> | ||
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| - | <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. (preprint) (<A HREF="LX-DHI-II.pdf"></A>)</FONT></P> | ||
people/xxu/xxu-personal.1775477590.txt · Last modified: 2026/04/06 08:13 by xxu