Seminar
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Analysis and Probability Seminar

Simon Larson, GU/Chalmers: Two-term spectral asymptotics in Lipschitz domains

Overview

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  • Date:Starts 20 December 2023, 13:15Ends 20 December 2023, 14:15
  • Location:
    MV:L14, Chalmers tvärgata 3
  • Language:English

In this talk I will discuss some recent developments concerning spectral asymptotics for Dirichlet and Neumann Laplace operators in a bounded domain with Lipschitz-regular boundary. More specifically, we will prove two-term asymptotic expansions for positive order Riesz-means. If time permits I will also outline some applications in the realm of spectral shape optimization.

The talk is based on joint work with Rupert Frank.

Jakob Björnberg
  • Head of Unit, Analysis and Probability Theory, Mathematical Sciences