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The Wiener criterion of regular points for the parabolic operator of order α

Published online by Cambridge University Press:  22 January 2016

Masaharu Nishio
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Let Rn+1 = Rn X R denote the (n + l)-dimensional Euclidian space (n ≧ 1). For X ε Rn+1 we write X = (x, t) with x ε Rn and t ε R. For an α with 0 < α < 1, we write

where Δ is the Laplacian on Rn and (– Δ)α is the α-fractional power of - Δ on R*

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 116 , December 1989 , pp. 163 - 179
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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