81 citations · 167 across the 10 of their papers we have counts for
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math-ph2005★ 81 cited
A Hardy inequality in twisted waveguides
T. Ekholm, H. Kovarik, D. Krejcirik
We show that twisting of an infinite straight three-dimensional tube with non-circular cross-section gives rise to a Hardy-type inequality for the associated Dirichlet Laplacian. A…
math-ph2004★ 67 cited
Stability of the magnetic Schrödinger operator in a waveguide
Tomas Ekholm, Hynek Kovarik
The spectrum of the Schrödinger operator in a quantum waveguide is known to be unstable in two and three dimensions. Any enlargement of the waveguide produces eigenvalues beneath t…