## Abstract We consider a nonstationary scattering of plane waves by a wedge. We prove that the Sommerfeldβtype integral, constructed in (__Math. Meth. Appl. Sci.__ 2005; **28**:147β183; __Proc. Int. Seminar__ β__Day on Diffractionβ2003__β, University of St. Petersburg, 2003; 151β162), is a classic
The limiting absorption principle in the problem of a transparent wedge
β Scribed by N. V. Mokeeva
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 168 KB
- Volume
- 142
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
## Abstract We present a complete proof of the existence and uniqueness of solutions of a mixed boundary value problem for the homogeneous Laplace equation in an unbounded parallel strip based on the principle of limiting absorption.
## Communicated by Y. Shibata We consider the self-adjoint operator governing the propagation of elastic waves in perturbed stratified media R3 with free boundary-interface conditions. In this paper we establish the limiting absorption principle for this self-adjoint operator in appropriate Hilber
We consider a N-body SehrOdinger operator H = Ho + V. The interaction V is given by a sum of pair potentials Vjk(y) ( = Vj~, + V~,), y e R 3. We assume that: V~ = O([y[-(l +o)), p > 0, as lyl ~ oo for the short-range part VA; tgyVj~,=O(lYl-{l~l+')), 0~<lal~<l, as lYl~oo for the long-range part Vj~.