On PC ansatzs

Journal of Mathematical Sciences

Volumn 132, Issue 1, 2006, Pages 2-10

  Babich, V M ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844438527     PISSN: 10723374     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10958-005-0470-y     Document Type: Article

References (11)

1. A. L. Brodskaya, A. V. Popov, and S. A. Khozioskii, "Asymptotics of the wave reflected by a cone in penumbra," in: 6th All-Union Symposium on the Diffraction and Propagation of Waves, Moscow-Erevan (1976), pp. 227-231.
2. F. Olver, Asymptotics and Special Functions [Russian translation], Nauka, Moscow (1990).
3. Yu. A. Kravtsov, "On a modification of the method of geometric optics," Izv. Vuzov, Radiofizika, 7, No. 4, 664-673 (1964).
4. N. V. Tsepelev, "Some special solutions of the Helmholtz equation," Zap. Nauchn. Semin. LOMI, 51, 197-202 (1975).
5. I. S. Gradstein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Moscow (1951).
6. V. A. Borovikov and B. E. Kinber, Geometric Theory of Diffraction [in Russian], Moscow (1978).
7. V. A. Fock, Problems in the Diffraction and Propagation of Electromagnetic Waves [in Russian], Moscow (1970).
8. V. P. Smyshlyaev, "On the diffraction by a cone at high frequencies," LOMI Preprint E-9-89, Leningrad (1989).
9. N. Bleistein, "Uniform asymptotic expansion of integrals with stationary points near algebraic singularities," Comm. Pure Appl. Math., 19, No. 4, 353-370 (1966).
10. V. A. Borovikov, Diffraction on Polygons and Polyhedra [in Russian], Nauka, Moscow (1966).
11. V. M. Babich, D. B. Dement'ev, B. A. Samokish, and V. P. Smyshlyaev, "Scattering of a high-frequency wave on the vertex of an arbitrary cone. Singular directions," Zap. Nauchn. Semin. POMI, 264, 7-21 (2000).