Vesselin Petkov

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20102016

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math.SP2016

Location and Weyl formula for the eigenvalues of some non self-adjoint operators

Vesselin Petkov

We present a survey of some recent results concerning the location and the Weyl formula for the complex eigenvalues of two non self-adjoint operators. We study the eigenvalues of t…

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\}:\: |…