Pleijel nodal domain theorem for the Robin eigenvalue problem

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• Asma Hassannezhad, University of Bristol
• Monday 27 March 2023, 15:00-16:00
• WATN-LT B (101).

If you have a question about this talk, please contact Yuzhao Wang.

A nodal domain refers to a connected region where the eigenfunction is nonzero. The simplest topological invariant of nodal domains is the nodal count. In this talk, we review the celebrated Courant and Pleijel nodal domain theorems and some of the recent developments in this direction. The main focus of the talk will be on an improved version of the Pleijel theorem for the Robin problem without restriction on the sign of the Robin parameter. This is joint work with David Sher.

This talk is part of the Analysis Seminar series.

This talk is included in these lists:

• Analysis Seminar
• School of Mathematics Events
• WATN-LT B (101)

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