S. Molchanov

activity

20052026

most citedScattering solutions in a network of thin fibers: small diameter asymptotics

122 citations · 139 across the 15 of their papers we have counts for

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2 papers · 1 filter

math.SP2016★ 3 cited

Spectral analysis of non-local Schrödinger operators

Yu. Kondratiev, S. Molchanov, B. Vainberg

We study spectral properties of convolution operators $L$ and their perturbations $H = L + v (x)$ by compactly supported potentials. Results are applied to determine t…

math.SP2010★ 1 cited

Non-random perturbations of the Anderson Hamiltonian

S. Molchanov, B. Vainberg

The Anderson Hamiltonian $H_{0} = - Δ + V (x, ω)$ is considered, where $V$ is a random potential of Bernoulli type. The operator $H_{0}$ is perturbed by a non-random, continuous potential $-w…