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Taylor, Michael E.

Grazing rays and reflection of singularities of solutions to wave equations. (English) Zbl 0318.35009

Commun. Pure Appl. Math. 29, 1-38 (1976).
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Cited in 3 Reviews
Cited in 57 Documents

MSC:

35B99 Qualitative properties of solutions to partial differential equations
35P25 Scattering theory for PDEs
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References:

[1] Bloom, Energy decays locally even if total energy grows algebraically with time · Zbl 0261.35053
[2] Construction de la paramétrix du problème mixte hyperbolique pour l’equation des ondes, C. R. Acad. Sc. Paris, Vol. 276, 1973, pp. 1213–1215. · Zbl 0253.35058
[3] Cordes, Amer. J. Math. 90 pp 681– (1968)
[4] Fourier Integral Operators, Courant Institute of Mathematical Sciences, New York University, Lecture Notes, 1973.
[5] Duistermaat, Acta Math. 128 pp 183– (1972)
[6] Asymptotic Expansion, Dover, New York, 1965.
[7] Friedlander, Math. Proc. Camb. Phil. Soc.
[8] Grimshaw, Comm. Pure Appl. Math. 19 pp 167– (1966)
[9] Hörmander, Acta, Math. 127 pp 79– (1971)
[10] Hörmander, L’Enseignement Math. 17 pp 99– (1971)
[11] Pseudo-differential operators and hypoelliptic equations, Singular Integrals, Proc. Symp. Pure Math. X, Amer. Math. Soc., 1967, pp. 138–183.
[12] Keller, Proc. Symp. Appl. Math. 8 pp 27– (1958) · doi:10.1090/psapm/008/0094120
[13] Lax, Duke Math. J. 24 pp 627– (1957)
[14] and , Scattering Theory, Academic Press, New York, 1967.
[15] Lax, J. Functional Anal. 14 pp 172– (1973)
[16] Ludwig, Comm. Pure Appl. Math. 19 pp 215– (1966)
[17] Ludwig, Comm. Pure Appl. Math. 20 pp 103– (1967)
[18] Majda, Comm. Pure Appl. Math. 28 pp 479– (1975)
[19] Ideals of Differentiable Functions, Oxford Univ. Press, 1966.
[20] Morawetz, Comm. Pure Appl. Math. 19 pp 439– (1966)
[21] Morawetz, Comm. Pure Appl. Math. 16 pp 477– (1963)
[22] Morawetz, Comm. Pure Appl. Math. 21 pp 187– (1968)
[23] Morawetz, Comm. Pure Appl. Math. 22 pp 189– (1969)
[24] Lectures on Linear Partial Differential Equations, Regional Conference Series in Math., No. 17, Providence, R. I., 1973. · doi:10.1090/cbms/017
[25] Povzner, Mat. Sbornik, Acad. Nauk 51 pp 3– (1960)
[26] Amer. Math. Soc. Translations, Ser. 2 47 pp 131–
[27] Taylor, Comm. Pure Appl. Math. 28 pp 457– (1975)
[28] Taylor, Trans. Amer. Math. Soc. 153 pp 495– (1971)
[29] Zachmanoglou, Jour. Math. Anal. and Applic. 13 pp 504– (1966)
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