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Analysis of C-singularities for a class of operators with varying multiple characteristics

Part of the Lecture Notes in Mathematics book series (2803,volume 1306)

Keywords

  • Cauchy Problem
  • Asymptotic Expansion
  • Pseudodifferential Operator
  • Fourier Integral Operator
  • Linear Partial Differential Operator

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References

  1. L. Hörmander. The Analysis of Linear Partial Differential Operators III, 1985, Springer-Verlag.

    Google Scholar 

  2. J. Chazarain. Reflection of C Singularities for a Class of Operators with Multiple Characteristics, Publ. RIMS. Kyoto Univ., 12 Suppl., 1977, 39–52.

    MathSciNet  MATH  Google Scholar 

  3. L. Nirenberg. Lectures on Linear Partial Differential Equations, 1973, Amer. Math. Society.

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  4. R.B. Melrose & G.A. Uhlman. Microlocal Structure of Involutive Conical Reflection, Duke Math. J., 46:3, 1979, 571–582.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. H. Uryu. The Cauchy Problem for Weakly Hyperbolic Equations, C.P.D.E., 5(1), 1980, 23–40.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. G. Nakamura & H. Uryu. Parametrix of Certain Weakly Hyperbolic Operators, C.P.D.E., 5(8), 1980, 837–896.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Qiu Qing-jiu, Chen Shuxing et al. The Theory of Fourier Integral Operators and its Applications, 1985, Science Press (in Chinese).

    Google Scholar 

  8. K. Amano & G. Nakamura. Branching of singularities for Degenerate Hyperbolic Operators, Publ. RIMS. Kyoto Univ., 20, 1984, 225–275.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. K. Taniguchi & Y. Tozaki. A Hyperbolic Equation with Double Characteristics which has a Solution with Branching Singularities, Math. Jaonica, 25:3, 1980, 279–300.

    MathSciNet  MATH  Google Scholar 

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© 1988 Springer-Verlag

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Qing-jiu, Q., Si-xin, Q. (1988). Analysis of C-singularities for a class of operators with varying multiple characteristics. In: Chern, Ss. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082930

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  • DOI: https://doi.org/10.1007/BFb0082930

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19097-4

  • Online ISBN: 978-3-540-39107-4

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