Existence of solutions to microhyperbolic boundary value problems

N. Tose

Séminaire Équations aux dérivées partielles (Polytechnique) (1987-1988)

  • page 1-12

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Tose, N.. "Existence of solutions to microhyperbolic boundary value problems." Séminaire Équations aux dérivées partielles (Polytechnique) (1987-1988): 1-12. <http://eudml.org/doc/111945>.

@article{Tose1987-1988,
author = {Tose, N.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {microlocal analysis; Holmgren},
language = {eng},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Existence of solutions to microhyperbolic boundary value problems},
url = {http://eudml.org/doc/111945},
year = {1987-1988},
}

TY - JOUR
AU - Tose, N.
TI - Existence of solutions to microhyperbolic boundary value problems
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1987-1988
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - eng
KW - microlocal analysis; Holmgren
UR - http://eudml.org/doc/111945
ER -

References

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  8. [K1] K. Kataoka, Micro-local Theory of boundary value problems I, J. of Fac. Sci. Univ. Tokyo, Sect. IA 27(1980), 355-399. Zbl0447.35070MR586455
  9. [K2] K. Kataoka, Micro-Local theory of boundary value problems II, J. of Fac. Sci. Univ. Tokyo, Sect. IA 28 (1981), 31-56. Zbl0459.35098MR617862
  10. [K3] K. Kataoka, On the theory of Radon transformations of hyperfunctions, J. of Fac. Sci. Univ. Tokyo, Sect. IA 28 (1981), 331-412. Zbl0576.32008MR633002
  11. [K4] K. Kataoka, Microlocal Analysis of Boundary Value Problems with Applications to Diffractions, in "Singularities in Boundary Value Problems", Reidel, 1981, 121-131. Zbl0461.35088MR617229
  12. [Ka-To] K. Kataoka and N. Tose, A Geometric Approach to Microhyperbolic Boundary Value Problems, Preprint. 
  13. [Ko-Ka] H. Komatsu and T. Kawai, Boundary Values of hyperfunction solutions of linear partial differential equations, Publ. RIMS Kyoto Univ.7(1971), 95-104. Zbl0225.35032MR306695
  14. [M] A. Martinez, Prolongement des solutions holomorphes de problèmes aux limites, Ann. Inst. Fourier, Grenoble35(1985), 93-116. Zbl0526.35005MR781780
  15. [Sc1] P. Schapira, Hyperfonctions et problèmes aux limites elliptiques, Bull. Soc. Math. France99 (1971), 113-141. Zbl0188.41402MR501188
  16. [Sc2] P. Schapira, Propagation au bord et reflection des singularités analytiques des solutions des équations aux dérivées partielles, Sém. Goulaouic-Schwartz1975-1976, expose 6. Zbl0338.35085MR467853
  17. [Sc3] P. Schapira, Idem. II, Sém. Goulaouic-Schwartz1976-1977, exposé 9. 
  18. [Sc2] P. Schapira and G. Zampieri, Microfunctions at the boundary and mild microfunctions, to appear in Publication of RIMS, Kyoto Univ. Zbl0702.35004MR976757
  19. [Sj1] J. Sjöstrand, Analytic singularities and microhyperbolic boundary value problems, Math. Ann.254 (1980). Zbl0459.35007MR597081
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  21. [To] N. Tose, Microlocal Boundary Value Problems for Partially Elliptic Systems of Microdifferential Equations, Master Thesis presented to Univ. of Tokyo (in Japanese), 1985. 
  22. [To-U] N. Tose and M. Uchida, Boundary value problems for partially elliptic systems and their applications, in preparation. 
  23. [Tr] J.M. Trepeau, Le problème de Cauchy hyperbolique dans les classes d'ultrafonctions et d'ultradistributions, comm. P.D.E., 4 (1979), 339-387. Zbl0466.35051MR525775

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