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

Banach Center Publications (1992)

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

## Access Full Article

top## How to cite

topÔaku, 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

top- [1] M. S. Baouendi and C. Goulaouic, Cauchy problems with characteristic initial hypersurface, Comm. Pure Appl. Math. 26 (1973), 455-475. Zbl0256.35050
- [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] 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] L. Nirenberg, Lectures on Linear Partial Differential Equations, Regional Conf. Ser. in Math. 17, Amer. Math. Soc., 1973.
- [5] T. Ôaku, Micro-local Cauchy problems and local boundary value problems, Proc. Japan Acad. 55 (1979), 136-140. Zbl0434.35005
- [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] 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] T. Ôaku, Removable singularities of solutions of linear partial differential equations, J. Fac. Sci. Univ. Tokyo, 33 (1986), 403-428. Zbl0626.35011
- [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] 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] 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] H. Tahara, Fuchsian type equations and Fuchsian hyperbolic equations, Japan. J. Math. 5 (1979), 245-347. Zbl0431.35004

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.