G. Vodev

math.SP2014

Asymptotics of the number of the interior transmission eigenvalues

Vesselin Petkov, Georgi Vodev

We prove a Weyl asymptotics $N (r) = c r^{d} + O_{ε} (r^{d - κ + ε})$ , $\forall 0 < ε ≪ 1$ , for the counting function $N(r) = \sharp\{λ_j \in {\mathbb C} \setminus \{0\}:\: |…

math.AP2014

Resolvent estimates for the magnetic Schrodinger operator

Georgi Vodev

We prove optimal high-frequency resolvent estimates for perturbations by large magnetic and electric potentials

math.AP2014★ 34 cited

Transmission eigenvalue-free regions

Georgi Vodev

We obtain large regions free of eigenvalues of the interior transmission problem.