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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Completeness of the wave operators for scattering problems of classical physics
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by John R. Schulenberger and Calvin H. Wilcox PDF
Bull. Amer. Math. Soc. 77 (1971), 777-782
References
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    • 2. A. L. Belopol’skiĭ and M. Š. Birman, The existence of wave operators in the theory of scattering with a pair of spaces, Izv. Akad. NaukSSSR32 (1968), 1162-1175 = Math. USSR Izv. 2 (1968), 1117-1130. MR 38 #7377.[Note]
  • M. Š. Birman, A local test for the existence of wave operators, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 914–942 (Russian). MR 0248558
    • 4. R. Courant and D. Hilbert, Methods of mathematical physics. Vol. 2: Partial differential equations, Interscience, New York, 1962. MR 25 #4216.
  • G. F. D. Duff, The Cauchy problem for elastic waves in an anistropic medium, Philos. Trans. Roy. Soc. London Ser. A 252 (1960), 249–273. MR 111293, DOI 10.1098/rsta.1960.0006
  • Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
  • Tosio Kato, Scattering theory with two Hilbert spaces, J. Functional Analysis 1 (1967), 342–369. MR 0220097, DOI 10.1016/0022-1236(67)90019-5
  • John R. Schulenberger and Calvin H. Wilcox, Coerciveness inequalities for nonelliptic systems of partial differential equations, Ann. Mat. Pura Appl. (4) 88 (1971), 229–305. MR 313887, DOI 10.1007/BF02415070
  • John R. Schulenberger and Calvin H. Wilcox, Completeness of the wave operators for perturbations of uniformly propagative systems, J. Functional Analysis 7 (1971), 447–474. MR 0275221, DOI 10.1016/0022-1236(71)90028-0
    • 10. J. R. Schulenberger and C. H. Wilcox, A coerciveness inequality for a class of nonelliptic operators of constant deficit, ONR Technical Summary Report #8, University of Denver, Denver, Colo., 1970.
  • Calvin H. Wilcox, Wave operators and asymptotic solutions of wave propagation problems of classical physics, Arch. Rational Mech. Anal. 22 (1966), 37–78. MR 199531, DOI 10.1007/BF00281244
  • Calvin H. Wilcox, Transient wave propagation in homogeneous anisotropic media, Arch. Rational Mech. Anal. 37 (1970), 323–343. MR 261844, DOI 10.1007/BF00249668
  • Calvin H. Wilcox, Measurable eigenvectors for Hermitian matrix-valued polynomials, J. Math. Anal. Appl. 40 (1972), 12–19. MR 318181, DOI 10.1016/0022-247X(72)90024-8
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 77 (1971), 777-782
  • MSC (1970): Primary 35P25, 47A40; Secondary 73D99, 76Q05, 78A45
  • DOI: https://doi.org/10.1090/S0002-9904-1971-12804-5
  • MathSciNet review: 0295149