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On structures of L2-well-posed mixed problems for hyperbolic operators

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Fourier Integral Operators and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 459))

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Reference

  1. R. Agemi and T. Shirota: On necessary and sufficient conditions for L2-well-posedness of mixed problems for hyperbolic equations, Jour. Fac Sci. Hokkaido Univ. Ser. I, Vol. 21, 133–151 (1970).

    MathSciNet  MATH  Google Scholar 

  2. R. Agemi and T. Shirota: On necessary and sufficient conditions for L2-well-posedness of mixed problems for hyperbolic equations II,ibid, Vol. 22, 137–149 (1972).

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  3. T. Okubo and T. Shirota: On structure of certain L2-well-posed mixed problems for hyperbolic systems of first order (to appear)

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  4. L. Hörmander: Pseudo-differential operators and non-elliptic boundary problems, Ann. of Math. 83, 129–209 (1966).

    Article  MathSciNet  MATH  Google Scholar 

  5. H. O. Kreiss: Initial-boundary value problems for hyperbolic systems. Comm. Pure Appl. Math. 23, 277–298 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  6. K. Kubota: Remarks on boundary value problems for hyperbolic equations. Hokkaido Math. J. Vol. II, No.2, 202–213 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  7. P. D. Lax and R. S. Phillips: Scattering theory, Academic Press, New York, 1967.

    MATH  Google Scholar 

  8. D. Ludwig: Uniform asymptotic expansions at a caustic, Comm. Pure Appl. Math., Vol. 19, 215–250 (1966). D. Ludwig: Uniform asymptotic expansions of the field scattered by a convex object at high frequencies, Comm. Pure Appl. Math., Vol. 20, 103–138 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  9. R. Sakamoto: Mixed problem for hyperbolic equations I, II, J. Math. Kyoto Univ., 10, 349–373, 403–417 (1970).

    MathSciNet  MATH  Google Scholar 

  10. T. Shirota: On certain L2-well-posed mixed problems for hyperbolic system of first order, Proc. Japan Acad., Vol. 50, No 2, 143–147 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  11. T. Shirota: On the propogation speed of hyperbolic operator with mixed boundary conditions, Jour. Fac. Sci., Hokkaido Univ., Ser. I, vol. 22, 25–31 (1972).

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Departement of Mathematics, Hokkaido University, Hokkaido, Japan

    Taira Shirota

  2. Departement of Mathematics, Nice University, Nice, France

    Taira Shirota

Authors
  1. Taira Shirota
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Jacques Chazarain

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© 1975 Springer-Verlag

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Shirota, T. (1975). On structures of L2-well-posed mixed problems for hyperbolic operators. In: Chazarain, J. (eds) Fourier Integral Operators and Partial Differential Equations. Lecture Notes in Mathematics, vol 459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074197

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  • DOI: https://doi.org/10.1007/BFb0074197

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07180-8

  • Online ISBN: 978-3-540-37521-0

  • eBook Packages: Springer Book Archive

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