University of Cambridge > Talks.cam > Geometric Analysis & Partial Differential Equations seminar > Unique continuation from infinity for linear waves

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

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

ℹ️ Information

Unique continuation from infinity for linear waves

Download to your calendar using vCal

If you have a question about this talk, please contact Harsha Hutridurga .

We prove various unique continuation results from infinity for linear waves on asymptotically flat space-times. Assuming vanishing of the solution to infinite order on suitable parts of future and past null infinities, we derive that the solution must vanish in an open set in the interior. The parts of infinity where we must impose a vanishing condition depend strongly on the background geometry; in particular, for backgrounds with positive mass (such as Schwarzschild or Kerr), the required assumptions are much weaker than in Minkowski spacetime. These results rely on a new family of geometrically robust Carleman estimates near null cones and on an adaptation of the standard conformal inversion of Minkowski spacetime. Also, the results are nearly optimal in many respects.

This is joint work with Spyros Alexakis and Volker Schlue.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Name to be confirmed Average on Sundays: 7260.08333333 kWh

Other talks

Machine Politics? Computers and AI in the History of Political Thought Talk title TBC Non-stationarity in structural dynamics, challenges and implications for modelling and structural health monitoring Tea and Coffee Break Theophilus Richmond’s The First Crossing: The Transition from Slavery to Indentureship in the Caribbean and the Case of the Black Slave on the Hesperus Early cancer clinical trials
 

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