V. Petkov

collaborators

5 papers

math.AP2026

Absence of eigenvalues of dissipative operator for strictly convex obstacles

Vesselin Petkov

We study the wave equation in the exterior of a strictly convex bounded domain $K \subset R^{d}, d \geq 3,$ odd, with dissipative boundary condition $\partial_Î½ u - Î³(x)…

math.DS2026

Length spectrum of periodic rays for billard flow

Vesselin Petkov

We study for several compact strictly convex disjoint obstacles the length spectrum $L$ formed by the lengths of all primitive periodic reflecting rays. We prove the exist…

math.DS2025

Dirichlet dynamical zeta function for billiard flow

Vesselin Petkov

We study the Dirichlet dynamical zeta function $I^\cdot_{D} (s)$ for billiard flow corresponding to several strictly convex disjoint obstacles. For large $Re s$ we have $Î·_D(s) =\…

math.DS2025

On the number of poles of the dynamical zeta functions for billiard flow

Vesselin Petkov

We study the number of the poles of the meromorphic continuation of the dynamical zeta functions $I^\cdot_{N}$ and $I^\cdot_{D}$ for several strictly convex disjoint obstacles satisfying non-ecl…

math.AP2025

Eigenvalues and resonances of dissipative acoustic operator for strictly convex obstacles

Vesselin Petkov

We examine the wave equation in the exterior of a strictly convex bounded domain $K$ with dissipative boundary condition $\partial_{I^} ½ u - I^^{3} (x) \partial_{t} u = 0$ on the boundary $Î…