34 citations · 67 across the 28 of their papers we have counts for
34 papers
Resolvent estimates for the Schrödinger operator with electric and magnetic potentials and applications to the local energy decay
Andrés Larraín-Hubach, Jacob Shapiro, Georgi Vodev
We establish resolvent estimates that extend earlier results to a larger class of electric potentials , , and magnetic potentials $b…
Exponential local energy decay of solutions to the wave equation with electric and magnetic potentials
Andrés Larraín-Hubach, Jacob Shapiro, Georgi Vodev
In this paper we prove sharp resolvent estimates for the magnetic Schrödinger operator in , , with short-range electric and magnetic potentials. We…
Semiclassical Resolvent Estimates for the Magnetic Schr{Ö}dinger Operator
Georgi Vodev
We obtain semiclassical resolvent estimates for the Schr{ö}dinger operator (ih + b)^2 + V in R^d , d 3, where h is a semiclassical parameter, V and b are real-valued…
Transmission eigenvalue-free regions near the real axis. II
Georgi Vodev
In this paper we extend the results in [16] to more general domains. More precisely, we obtain transmission eigenvalue-free regions for the interior transmission problem with one c…
Transmission eigenvalue-free regions near the real axis in the anisotropic case
Georgi Vodev
We consider the anisotropic interior transmission problem with one complex-valued refraction index. Under the condition that all geodesics reach the boundary in a finite time, we o…
Interior transmission problems with coefficients of low regularity
Georgi Vodev
We obtain parabolic transmission eigenvalue-free regions for both isotropic andanisotropic interior transmission problems with coefficients which are Lipschitznear the boundary