79 citations · 481 across the 62 of their papers we have counts for
3 papers · 2 filters
Spectral analysis of the multi-dimensional diffusion operator with random jumps from the boundary
David Krejcirik, Vladimir Lotoreichik, Konstantin Pankrashkin +1
We develop a Hilbert-space approach to the diffusion process of the Brownian motion in a bounded domain with random jumps from the boundary introduced by Ben-Ari and Pinsky in 2007…
A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities
Pedro R. S. Antunes, Rafael D. Benguria, Vladimir Lotoreichik +1
We investigate spectral features of the Dirac operator with infinite mass boundary conditions in a smooth bounded domain of . Motivated by spectral geometric inequali…
Spectral optimization for Robin Laplacian on domains admitting parallel coordinates
Pavel Exner, Vladimir Lotoreichik
In this paper we deal with spectral optimization for the Robin Laplacian on a family of planar domains admitting parallel coordinates, namely a fixed-width strip built over a smoot…