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Another approach to a non-elliptic boundary problem

Published online by Cambridge University Press:  22 January 2016

Yoshio Kato*
Affiliation:
Department of Engineering Mathematics Faculty of EngineeringNagoya University
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Let Ω be a bounded domain in ndimensional Euclidian space Rn(n ≧ 2)with Cboundary Γ of dimension n— 1 and let there be given two real-valued C∞–functions α, β on Γ such that α≧ 0, β ≧ 0and α + β = lthroughout Γ.Then we consider the non-elliptic boundary value problem with λ ≧ 0 (which is always assumed, and in particular when λ =0, we further assume β ≢ 0,throughout this paper) :

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

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