V. Petkov

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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.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…