no. 1
Microlocal analysis of diffraction by a corner
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 25 (1992) no. 1, pp. 47-75. 
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     author = {Uchida, Motoo},
     title = {Microlocal analysis of diffraction by a corner},
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     pages = {47--75},
     publisher = {Elsevier},
     volume = {Ser. 4, 25},
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     year = {1992},
     doi = {10.24033/asens.1643},
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     zbl = {0749.58053},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/asens.1643/}
}
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Uchida, Motoo. Microlocal analysis of diffraction by a corner. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 25 (1992) no. 1, pp. 47-75. doi : 10.24033/asens.1643. http://www.numdam.org/articles/10.24033/asens.1643/

[1] J. Cheeger and M. Taylor, On the Diffraction of the Waves by Conical Singularities I-II (Comm. P.A.M., Vol. 35, 1982, pp. 275-331 et 487-529). | MR | Zbl

[2] R. Hartshorne, Residues and Duality (Lect. Notes Math., No. 20, Springer-Verlag, 1966). | EuDML | MR | Zbl

[3] M. Kashiwara and T. Kawai, On the Boundary Value Problem for Elliptic System of Linear Partial Differential Equations I-II (Proc. Jpn Acad., Vol. 48, 1972, pp. 712-715 ; ibid., Vol. 49, 1973, pp. 164-168). | MR | Zbl

[4] M. Kashiwara, T. Kawai and T. Kimura, Foundations of Algebraic Analysis, Princeton University Press, 1986. | MR | Zbl

[5] M. Kashiwara and P. Schapira, Micro-Hyperbolic Systems (Acta Math., Vol. 142, 1979, pp. 1-55). | MR | Zbl

[6] M. Kashiwara and P. Schapira, Microlocal Study of Sheaves (Astérisque, Vol. 128, Soc. Math. de France, 1985). | Numdam | MR | Zbl

[7] K. Kataoka, A Microlocal Approach to General Boundary Value Problems (Publ. R.I.M.S., Kyoto Univ., Vol. 12, Suppl., 1977, pp. 147-153). | MR | Zbl

[8] K. Kataoka, Microlocal Theory of Boundary Value Problems I-II (J. Fac. Sci. Univ. Tokyo, Vol. 27, 1980, pp. 355-399 ; ibid., Vol. 28, 1981, pp. 31-56). | Zbl

[9] K. Kataoka, On the Theory of Radon Transformations of Hyperfunctions (J. Fac. Sci. Univ. Tokyo, Vol. 28, 1981, pp. 331-443). | MR | Zbl

[10] K. Kataoka, Some Properties of Mild Hyperfunctions and an Application to Propagation of Micro-Analyticity in Boundary Value Problems (J. Fac. Sci. Univ. Tokyo, Vol. 30, 1983, pp. 279-296). | MR | Zbl

[11] J. B. Keller, A Geometrical Theory of Diffraction (J. Opt. Soc. Am., Vol. 52, 1962, pp. 116-130). | MR

[12] H. Komatsu and T. Kawai, Boundary Values of Hyperfunction Solution of Linear Partial Differential Equations (Publ. R.I.M.S., Kyoto Univ., Vol. 7, 1971, pp. 95-104). | MR | Zbl

[13] G. Lebeau, Une propriété d'invariance pour le spectre des traces (C.R. Acad. Sci. Paris, T. 294, Série I, 1982, pp. 723-725). | MR | Zbl

[14] M. Rouleux, Diffraction analytique sur une variété à singularité conique (Comm. P.D.E., Vol. 11 (9), 1986, pp. 947-988). | MR | Zbl

[15] M. Sato, T. Kawai and M. Kashiwara, Microfunctions and Pseudo-Differential Equations (Lect. Notes Math., No. 287, Springer-Verlag, 1973, pp. 265-529). | MR | Zbl

[16] P. Schapira, Hyperfonctions et problème aux limites elliptiques (Bull. Soc. Math. Fr., T. 99, 1971, pp. 113-141). | Numdam | MR | Zbl

[17] P. Schapira, Propagation at the Boundary and Reflection of Analytic Singularities of Solutions of Linear Partial Differential Equations I-II (Publ. R.I.M.S., Kyoto Univ., Vol. 12, Suppl., 1977, pp. 441-453 ; Séminaire Goulaouic-Schwartz, 1976-1977, Exp. 9). | Numdam | MR | Zbl

[18] P. Schapira, Propagation at the Boundary of Analytic Singularities. In Singularities of Boundary Value Problems, Reidel Publ. Co., 1981, pp. 185-212. | MR | Zbl

[19] P. Schapira, Front d'onde analytique au bord II (Séminaire E.D.P., Ecole Polyt., 1985-1986, Exp. 13). | Numdam | Zbl

[20] P. Schapira, Microfunctions for Boundary Value Problems. In Prospect in Algebraic Analysis, Papers dedicated to M. Sato, Academic Press, 1989, pp. 809-819. | MR | Zbl

[21] P. Schapira, Propagation of Regularity Up to Non Smooth Boundary (Journée E.D.P., Saint-Jean-de-Monts, Publ. École Polyt., 1987). | Numdam

[22] P. Schapira, Microdifferential Systems in the Complex Domain (Grundlehren der math. Wissenschaften, Vol. 269, Springer-Verlag, 1985). | MR | Zbl

[23] J. Sjöstrand, Propagation of Analytic Singularities for Second Order Dirichlet Problems I-II-III (Comm. P.D.E., Vol. 5, 1980, pp. 41-94 ; ibid., pp. 187-207 ; ibid., Vol. 6, 1981, pp. 499-567). | Zbl

[24] M. Uchida, On the Complex CΛ Attached to a Certain Class of Lagrangian Set (Proc. Jpn Acad., Vol. 64, 1988, pp. 126-129). | MR | Zbl

[25] M. Uchida, Un théorème d'injectivité du morphisme de restriction pour les micro-fonctions (C.R. Acad. Sci. Paris, T. 308, Série I, 1989, pp. 83-85). | MR | Zbl

[26] M. Uchida, Étude microlocale de la diffraction par un coin (Séminaire E.D.P., École Polyt. 1989-1990, Exp. 3). | Numdam | Zbl

[27] J.-P. Varrenne, Diffraction par un angle ou un dièdre (C.R. Acad. Sci. Paris, T. 290, Série A, 1980, pp. 175-178). | MR | Zbl

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