Speaker
Valerii Pchelintsev
(Tomsk state university)
Description
In this talk we give applications of the conformal geometry to the spectral estimates of the Dirichlet-Laplace operator in bounded simply connected domains with highly non-rectifiable boundaries.
Our method is based on the geometrical theory of composition operators on Sobolev spaces. These composition operators are generated by conformal mappings.
The talk is based on a joint work with Ivan Kolesnikov.
Research was supported by RSF Grant No. 23-21-00080.
Primary author
Valerii Pchelintsev
(Tomsk state university)
