University of Birmingham > Talks@bham > Analysis Seminar > Common nodal surfaces of the Laplace eigenfunctions in Euclidean spaces

Common nodal surfaces of the Laplace eigenfunctions in Euclidean spaces

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If you have a question about this talk, please contact Alessio Martini.

Nodal sets are zero loci of Laplace eigenfunctions and are important for understanding wave processes. The geometry of the nodal set of an individual eigenfunction may be very complicated and hardly can be well understood. On the other hand, simultaneous vanishing (resonance) of a collection of eigenfunctions is an overdetermined condition and should be expected to occur only either for small or for special sets, so that in such cases discovering geometric shape of the nodal sets might be possible. The talk is devoted to recent progress in the above problem for Euclidean spaces.

This talk is part of the Analysis Seminar series.

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