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On non-elliptic boundary problems

Published online by Cambridge University Press:  22 January 2016

Yoshio Kato
Yoshio Kato*
Affiliation:
Nagoya University
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The purpose of this paper is to study the boundary value problems for the second order elliptic differential equation

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 86 , June 1982 , pp. 1 - 38
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

[ 1 ] Egorov, Ju. V. and Kondrat’ev, V. A., The oblique derivative problems, Mat. Sbornik, 78 (1969), 148–176. = Math. USSR Sbornik, 7 (1969), 139–169.Google Scholar
[ 2 ] örmander, L. H, Pseudo-differential operators and non-elliptic boundary problem Ann. of Math., 83 (1966), 129–209.Google Scholar
[ 3 ] Kato, Y., Mixed-type boundary condition for second order elliptic differential equations, J. Math. Soc. Japan, 26 (1974), 405–432.Google Scholar
[ 4 ] Kato, Y., On a class of non-elliptic boundary problems, Nagoya Math. J., 54 (1974), 7–20.Google Scholar
[ 5 ] Kato, Y., Another approach to a non-elliptic boundary problem, Nagoya Math. J., 66 (1977), 13–22.Google Scholar
[ 6 ] Maljutov, M. B., On the Poincaré boundary value problem, Trans. Moscow Math. Soc, 20 (1969), 173–204.Google Scholar
[ 7 ] Soga, H., Boundary value problems with oblique derivative Publ. RIMS, Kyoto Univ., 10 (1975), 619–668.CrossRefGoogle Scholar
[ 8 ] Winzell, B., Solutions of second order elliptic partial differential equations with prescribed directional derivative on the boundary, Dissertation.Google Scholar
[ 9 ] Yosida, K., Functional analysis, Springer-Verlag (1965).Google Scholar