1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.SP2022★ 1 cited
Flexibility of Steklov eigenvalues via boundary homogenisation
Mikhail Karpukhin, Jean Lagacé
Recently, D. Bucur and M. Nahon used boundary homogenisation to show the remarkable flexibility of Steklov eigenvalues of planar domains. In the present paper we extend their resul…
math.SP2022
Weyl's law for the Steklov problem on surfaces with rough boundary
Mikhail Karpukhin, Jean Lagacé, Iosif Polterovich
The validity of Weyl's law for the Steklov problem on domains with Lipschitz boundaries is a well-known open question in spectral geometry. We answer this question in two dimension…
math-ph2021
The almost periodic gauge transform -- An abstract scheme with applications to Dirac Operators
Jean Lagacé, Sergey Morozov, Leonid Parnovski +2
One of the main tools used to understand both qualitative and quantitative spectral behaviour of periodic and almost periodic Schrödinger operators is the method of gauge transform…