Speaker
Ziganur Fazullin
(Ufa University of Science and Technology)
Description
We are going to discuss problems and analyze calculation of regularized trace formulas for perturbed model second-order partial derivative operators if the perturbation is performed by the operator of multiplication by function. In particular, we will formulate certain results on the question for Laplace-Beltrami operator on $S^2$, for harmonic oscillator acting in the whole plane $\mathbb R^2$ or in a strip, for Schr\”odinger operator in homogeneous magnetic field. We will also discuss certain approaches and results for Dirichlet problem on a square
