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On extending solutions to wave equations across glancing boundaries
Author(s):
Mark
Williams
Journal:
Bull. Amer. Math. Soc.
15
(1986),
65-68.
MSC (1980):
Primary 35L20
MathSciNet review:
838788
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References |
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Additional information
References:
- 1.
- K. G. Andersson and R. B. Melrose, The propagation of singularities along gliding rays, Invent. Math. 41 (1977), 197-232. MR 494322
- 2.
- G. Eskin, Parametrix and propagation of singularities for the interior mixed hyperbolic problem, J. Analyse Math. 32 (1977), 17-62. MR 477491
- 3.
- A. Melin and J. Sjöstrand, Fourier integral operators with complex valued phase functions, Lecture Notes in Math., vol. 459, Springer-Verlag, Berlin and New York, 1975, pp. 120-223. MR 431289
- 4.
- R. B. Melrose and J. Sjöstrand, Singularities of boundary value problems. I, Comm. Pure Appl. Math. 31 (1978), 593-617. MR 492794
- 5.
- R. B. Melrose and M. Taylor, Boundary problems for wave equations with grazing and gliding rays, monograph (in preparation).
- 6.
- M. Taylor, Pseudodifferential operators, Princeton Univ. Press, Princeton, N.J., 1981. MR 618463
- 7.
- M. Taylor, Airy operator calculus, Microlocal Analysis, Contemporary Math., vol. 27, Amer. Math. Soc., 1984, pp. 169-192. MR 741047
- 8.
- M. Williams, Wavefront sets of extensions of solutions to diffractive boundary problems, Comm. Partial Differential Equations 8 (1983), 875-928. MR 699167
- 9.
- M. Williams, On extending solutions to Dirichlet problems across the boundary as solutions, Duke Math. J. 52 (1985), 547-563. MR 808092
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Additional Information:
DOI:
10.1090/S0273-0979-1986-15435-2
PII:
S 0273-0979(1986)15435-2
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