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The analytic extension of the resolvent of outer three-dimensional problems for Laplace operators in the second sheet. (English. Russian original) Zbl 0292.35064
Funct. Anal. Appl. 8, 62-63 (1974); translation from Funkts. Anal. Prilozh. 8, No. 1, 71-72 (1974).

35P25 Scattering theory for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35J10 Schrödinger operator, Schrödinger equation
35B40 Asymptotic behavior of solutions to PDEs
35L05 Wave equation
Full Text: DOI
[1] P. Lax and R. Phillips, Scattering Theory, Academic Press (1967).
[2] F. Ursell, Proc. Cambridge Phil. Soc.,53, No. 1, 115–133 (1957). · doi:10.1017/S0305004100032060
[3] V. M. Babich, Matem. Sb.,65, 576–630 (1964).
[4] V. M. Babich, in: Theory of Functions and Functional Analysis and Their Applications, Issue 3, 151–158 (1966).
[5] V. M. Milhailov, Dokl. Akad. Nauk SSSR, 159, No. 4, 750–752 (1964).
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