Boundary value problem for Fuchsian partial differential equations and reflection of singularities

Toshinori Ôaku

Banach Center Publications (1992)

  • Volume: 27, Issue: 2, page 337-348
  • ISSN: 0137-6934

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Ôaku, Toshinori. "Boundary value problem for Fuchsian partial differential equations and reflection of singularities." Banach Center Publications 27.2 (1992): 337-348. <http://eudml.org/doc/262856>.

@article{Ôaku1992,
author = {Ôaku, Toshinori},
journal = {Banach Center Publications},
keywords = {reflection of analytic singularities; hyperfunction solutions; Fuchsian linear partial differential equation},
language = {eng},
number = {2},
pages = {337-348},
title = {Boundary value problem for Fuchsian partial differential equations and reflection of singularities},
url = {http://eudml.org/doc/262856},
volume = {27},
year = {1992},
}

TY - JOUR
AU - Ôaku, Toshinori
TI - Boundary value problem for Fuchsian partial differential equations and reflection of singularities
JO - Banach Center Publications
PY - 1992
VL - 27
IS - 2
SP - 337
EP - 348
LA - eng
KW - reflection of analytic singularities; hyperfunction solutions; Fuchsian linear partial differential equation
UR - http://eudml.org/doc/262856
ER -

References

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  1. [1] M. S. Baouendi and C. Goulaouic, Cauchy problems with characteristic initial hypersurface, Comm. Pure Appl. Math. 26 (1973), 455-475. Zbl0256.35050
  2. [2] M. Kashiwara and T. Oshima, Systems of differential equations with regular singularities and their boundary value problems, Ann. of Math. 106 (1977), 145-200. Zbl0358.35073
  3. [3] Y. Laurent et T. Monteiro Fernandes, Systèmes différentiels Fuchsiens le long d'une sous-variété, Publ. RIMS Kyoto Univ. 24 (1988), 397-431. Zbl0704.35032
  4. [4] L. Nirenberg, Lectures on Linear Partial Differential Equations, Regional Conf. Ser. in Math. 17, Amer. Math. Soc., 1973. 
  5. [5] T. Ôaku, Micro-local Cauchy problems and local boundary value problems, Proc. Japan Acad. 55 (1979), 136-140. Zbl0434.35005
  6. [6] T. Ôaku, A canonical form of a system of microdifferential equations with non-involutory characteristics and branching of singularities, Invent. Math. 65 (1982), 491-525. Zbl0493.35083
  7. [7] T. Ôaku, Boundary value problems for systems of linear partial differential equations and propagation of micro-analyticity, J. Fac. Sci. Univ. Tokyo 33 (1986), 175-232. Zbl0626.35058
  8. [8] T. Ôaku, Removable singularities of solutions of linear partial differential equations, J. Fac. Sci. Univ. Tokyo, 33 (1986), 403-428. Zbl0626.35011
  9. [9] T. Oshima, A definition of boundary values of solutions of partial differential equations with regular singularities, Publ. RIMS Kyoto Univ. 19 (1983), 1203-1230. Zbl0559.35007
  10. [10] T. Oshima, Boundary value problems for systems of linear partial differential equations with regular singularities, Advanced Studies in Pure Math. 4 (1984), 391-432. 
  11. [11] 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. Zbl0378.35065
  12. [12] H. Tahara, Fuchsian type equations and Fuchsian hyperbolic equations, Japan. J. Math. 5 (1979), 245-347. Zbl0431.35004

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