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math-ph2013★ 51 cited
Schrödinger operators with δ- and δ'-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
We investigate Schrödinger operators with δ- and δ'-interactions supported on hypersurfaces, which separate the Euclidean space into finitely many bounded and unbounded Lipschitz d…
math.SP2013
Lower bounds on the norms of extension operators for Lipschitz domains
Vladimir Lotoreichik
Let $Ω\subset\dR^d$ be a bounded or an unbounded Lipschitz domain. In this note we address the problem of continuation of functions from the Sobolev space up to functions…
math-ph2013
Note on 2D Schrödinger operators with delta-interactions on angles and crossing lines
Vladimir Lotoreichik
In this note we sharpen the lower bound from [LLP10] on the spectrum of the 2D Schroedinger operator with a delta-interaction supported on a planar angle. Using the same method we…