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Reflection of analytic singularities

  • Part II Miscellaneous Mathematical Developments
  • Conference paper
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Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 126))

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References

  1. K.G. Andersson, Régularité jusqu'au bord pour des problèmes mixtes. C.R.A.S. 282 (2 février 1976), 275–277.

    Google Scholar 

  2. F.G. Friedlander, R.B. Melrose, The wavefront set of the solution of a simple initial-boundary problem with glancing rays, II. Math. Proc. Camb. Phil. Soc. (1977), 81, 97–120.

    Google Scholar 

  3. L. Hörmander, Uniqueness theorems and wavefront sets for solutions of linear differential equations with analytic coefficients. C.P.A.M., 23 (1970), 329–358.

    Google Scholar 

  4. M. Kashiwara, T. Kawai, Microhyperbolic pseudo-differential operators I. Journal of Math. Soc. Japan, 27 (1975), 359–404.

    Google Scholar 

  5. R.B. Melrose, J. Sjöstrand, Singularities of boundary value problems I. C.P.A.M., 31 (1978), 593–617.

    Google Scholar 

  6. R.B. Melrose, J. Sjöstrand, Singularities of boundary value problems II. In preparation, but see Sém. Goulaouic-Schwartz, 1977-78, no. 15 for the essential results.

    Google Scholar 

  7. J. Rauch, The leading wavefront for hyperbolic mixed problems. Bull. Soc. R. Sci. de Liège, 46, no. 5-8 (1977), 156–161.

    Google Scholar 

  8. J. Rauch, J. Sjöstrand, Propagation of analytic singularities along diffracted rays. To appear.

    Google Scholar 

  9. M. Sato, T. Kawai, M. Kashiwara, Microfunctions and pseudo-differential equations. Springer Lecture Notes in Mathematics, no. 287.

    Google Scholar 

  10. P. Schapira, Propagation at the boundary and reflection of analytic singularities of solutions of linear partial differential equations, I. Publ. RIMS, Kyoto Univ., 12 Suppl. (1977), 441–453.

    Google Scholar 

  11. J. Sjöstrand, Propagation of analytic singularities for second order Dirichlet problems, I. Comm. P.D.E., to appear.

    Google Scholar 

  12. J. Sjöstrand, Propagation of analytic singularities for second order Dirichlet problems, II. Comm. P.D.E., to appear.

    Google Scholar 

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Authors

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D. Iagolnitzer

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© 1980 Springer-Verlag

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Sjöstrand, J. (1980). Reflection of analytic singularities. In: Iagolnitzer, D. (eds) Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory. Lecture Notes in Physics, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09996-4_39

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  • DOI: https://doi.org/10.1007/3-540-09996-4_39

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09996-3

  • Online ISBN: 978-3-540-39306-1

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