University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Doubling inequalities for eigenfunctions

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Doubling inequalities for eigenfunctions

Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

GSTW05 - Emerging Horizons in Geometric Spectral Theory: an ECRs workshop

Doubling inequalities quantify local growth properties of eigenfunctions, bound their vanishing order, and provide a basic quantitative form of unique continuation. They have become a standard tool in spectral geometry and related PDE questions, including bounds for nodal and singular sets. I will give an overview of doubling estimates for Laplace eigenfunctions on manifolds, as well as various methods, used in the proof of such inequalities: Carleman estimates in the tradition of Donnelly–Fefferman, geometric arguments via harmonic extension/lift, and a new propagation-of-smallness approach. If time permits, I will briefly discuss boundary analogues and current work on doubling in the presence of conic singularities.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Room GS15 at the William Gates Building and on Zoom: https://cl-cam-ac-uk.zoom.us/j/4361570789?pwd=Nkl2T3ZLaTZwRm05bzRTOUUxY3Q4QT09&from=addon 17 Mill Lane, Room B Cavendish Quantum Colloquium

Other talks

Title to be confirmed Title TBC Cambridge RNA Club - ONLINE Using numerical simulations for solving spectral geometry problems Title to be confirmed Seminars in Cancer
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity