Event
Victor Ivrii (University of Toronto)
Monday, November 6, 2023 14:30to15:30
Burnside Hall
Room 1104, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: Pointwise Spectral Asymptotics near Singularity
Abstract:听In this talk we establish semiclassical asymptotics and estimates for the $e_h(x,x,\tau)$ where听$e_h(x,y,\tau)$ is the Schwartz kernel of the spectral projector for a second order elliptic operator inside domain with the power singularity in the origin. While such asymptotics for its trace $\N_h(\tau)= \int e_h(x,x,\tau)\,dx$ are well-known, the poinwise asymptotics are much less explored.
Our main tools: microlocal methods, improved successive approximations and geometric optics methods.
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Meeting ID: 890 3627 7968
Password: 218595
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