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學術專區

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演講
活動開始時間2018-10-29 16:00:00
活動結束時間2018-10-29 17:00:00
活動名稱理論中心 & 清大數學系學術演講-On concentration of eigenfunctions
主講者Christopher Sogge (Johns Hopkins University)
活動地點綜合三館4F Lecture Room B
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參考連結 
備註I shall present some results in global harmonic analysis that concern properties of eigenfunctions on compact Riemannian manifolds. Using local arguments we can show that $L^p$ norms of eigenfunctions over the entire manifold are saturated if and only if there are small balls (if $p$ is large) or small tubular neighborhoods of geodesics (if $p$ is small) on which the eigenfunctions have very large $L^p$ mass. Neither can occur on manifolds of nonpositive curvature, or, more generally, on manifolds without conjugate points.
最後更新日期2018-10-22 14:45:33
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