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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).

MSC:
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
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References:
[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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