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Regularity of solutions of cauchy problems with smooth cauchy data

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1324)

Keywords

  • Cauchy Problem
  • Boundary Regularity
  • Additional Regularity
  • Complex Neighborhood
  • Extendible Solution

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References

  1. Hörmander, L.: The analysis of linear partial differential operators, I and II, Springer Verlag, Grundlehren Series, vol.'s 256, 257, 1983.

    Google Scholar 

  2. : Uniqueness theorems and wave front sets..., C.P.A.M., 24, 671–704, 1971.

    MATH  Google Scholar 

  3. Kataoka,K.: Microlocal analysis of boundary value problems with applications to diffraction, NAT0 ASI Series, vol.C65, ed. by H.Garnir, 121–133.

    Google Scholar 

  4. Lebeau, G.: Une propriete d'invariance pour le spectre des traces de solutions d'op. diff., C.R. Acad. Sci. Paris, Ser.I. Math., 294:22 (1982),723–725.

    MathSciNet  MATH  Google Scholar 

  5. Liess, O.: Prolema Cauchy in doua variabile, Studii si Cerc. Mat. XXV:2 (1973), 267–281, and: The Cauchy problem for operators in two variables, II, Rev. Roum., XVIII:4, (1973), 543–561.

    MathSciNet  Google Scholar 

  6. : Necessary and sufficient conditions for propagation of singularities for systems of linear partial differental operators with constant coefficients, C.P.D.E., 8:2, (1983), 89–198.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. : Microlocality of the Cauchy problem in inhomogeneous Gevrey classes, C.P.D.E., 11:13, 1379–1437. (1986)

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. : Boundary regularity for one-sided solutions of linear partial differential equations with analytic coefficients, Springer Lecture Notes in Math., Vol.1256, 1986. Edited by Cordes-Gramsch-Widom.

    Google Scholar 

  9. Liess, O.-Rodino, L.: Inhomogeneous Gevrey classes and related pseudodifferential operators, Boll. U.M.I., Ser.VI, III-C (1984), 233–323.

    MathSciNet  MATH  Google Scholar 

  10. Rodino,L.: On the Gevrey wave front set of the solutions of a quasi-elliptic degenerate equation, Rend. Sem. Mat. Univ. Pol.Torino, vol.40, 1982.

    Google Scholar 

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© 1988 Springer-Verlag

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Liess, O. (1988). Regularity of solutions of cauchy problems with smooth cauchy data. In: Cardoso, F., de Figueiredo, D.G., Iório, R., Lopes, O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100790

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  • DOI: https://doi.org/10.1007/BFb0100790

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50111-4

  • Online ISBN: 978-3-540-45928-6

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