In this paper, we study the time persistence of superoscillations as the initial data of the time-
dependent Schrödinger equation with δ δ-and δ'δ′-potentials. It is shown that the …

Inequalities for the eigenvalues of the (negative) Laplacian subject to mixed boundary
conditions on polyhedral and more general bounded domains are established. The …

We analyze a family of singular Schrödinger operators with local singular interactions
supported by a hypersurface Σ⊂ ℝ n, n≥ 2, being the boundary of a Lipschitz domain …

In this note, we investigate three-dimensional Schrödinger operators with δ δ-interactions
supported on C^ 2 C 2-smooth cones, both finite and infinite. Our main results concern a …

In this expository article some spectral properties of self‐adjoint differential operators are
investigated. The main objective is to illustrate and (partly) review how one can construct …

Let S⊂ R 3 be a C 4-smooth relatively compact orientable surface with a sufficiently regular
boundary. For β∈ R+, let E j (β) denote the j th negative eigenvalue of the operator …

Let Λ⊂ ℝ 2 be a non-closed piecewise-C 1 curve, which is either bounded with two free
endpoints or unbounded with one free endpoint. Let u±| Λ∈ L 2 (Λ) be the traces of a …

We investigate the Schrödinger operators H ϵ=− Δ+ W+ V ϵ in R 2 with the short-range
potentials V ϵ which are localized around a smooth closed curve γ. The operators H ϵ can …

Let $\Lambda\subset\mathbb {R}^ 2$ be a non-closed piecewise-$ C^ 1$ curve, which is
either bounded with two free endpoints or unbounded with one free endpoint. Let $ u_\pm …