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On the propagation properties of surface waves. (English) Zbl 0905.65107

Papanicolaou, George (ed.), Wave propagation in complex media. New York, NY: Springer. IMA Vol. Math. Appl. 96, 143-154 (1998).
Some preliminary results concerning propagation properties of surface waves are published. The authors show some properties of spectra of Schrödinger operators with surface potentials, especially when the potentials are quasiperiodic. The discrete boundary value problem is discussed.
The referee is sorry to say that the reader spends some time before he finds the way out from the mess in the numbering of formulas. The authors promise to publish stronger results in another paper.
For the entire collection see [Zbl 0880.00025].
Reviewer: P.Burda (Praha)

MSC:

65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
35J10 Schrödinger operator, Schrödinger equation
35P05 General topics in linear spectral theory for PDEs
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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