Zhejiang University

Thu 5 Sep 2019, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
Buchanan D307

TBA

Buchanan D307
Thu 5 Sep 2019, 3:30pm4:30pm
Abstract
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UBC

Tue 24 Sep 2019, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
Buchanan D307

Eigenfunction decay rates for eigenvalues at threshold of essential spectrum

Buchanan D307
Tue 24 Sep 2019, 3:30pm4:30pm
Abstract
In the talk we present a new method for calculating decay rates of eigenfunctions for eigenvalues below the threshold of the essential spectrum. The method is also applicable for eigenvalues at the threshold provided that the eigenfunction exists. In fact, our apriori bounds are the crucial first step for the proof that bound states at the thresholds exist. We consider the example of a helium atom and show that the decay rate of an eigenfunction at the threshold of the essential spectrum behaves as exp(− Cx∞ ), where x∞ = maxj (xj ) is the maximum of electron coordinates. Moreover we show a similar result for the Froehlich Bipolaron.
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MPIM Bonn

Tue 8 Oct 2019, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
Buchanan D307

Recent developments of free boundary minimal hypersurfaces

Buchanan D307
Tue 8 Oct 2019, 3:30pm4:30pm
Abstract
In this talk, I will introduce some recent developments of free boundary minimal hypersurfaces, including compactness, generic finiteness and index estimates. As an application, we also give the existence of infinitely many minimal hypersurfaces with nonempty free boundary under some weak assumptions. Part of the work is joint with Q.Guang, M.Li and X.Zhou
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