Capacity and torsional rigidity: two measures of spectral stability

Seminario di Analisi Matematica

Dettagli dell'evento


dalle 14:30 alle 16:30


Aula C2 (Palazzo Manfredini)

Persona di riferimento


Roberto Ognibene (Università di Pisa)

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In this talk, I will discuss the behavior of the spectrum of the Laplacian on bounded domains, subject to varying mixed boundary conditions. More precisely, let us assume the boundary of the domain to be split into two parts, on which homogeneous Neumann and Dirichlet boundary conditions are respectively prescribed; let us then assume that, alternately, one of these regions “disappears” and the other one tends to cover the whole boundary. In this framework, I will first describe under which conditions the eigenvalues of the mixed problem converge to the ones of the limit problem (where a single kind of boundary condition is imposed); then, I will sharply quantify the rate of this convergence by providing an explicit first-order asymptotic expansion of the “perturbed” eigenvalues. These results have been obtained in collaboration with L. Abatangelo, V. Felli and B. Noris.

Relatore: Roberto Ognibene (Università di Pisa)
Luogo: Aula C2 (Palazzo Manfredini)
Data e ora: Giovedì 23 Marzo 2023, ore 14.30

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