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On the p-Thin Problem for Hypersurfaces of Rn With Zero Gaussian Curvature

Published online by Cambridge University Press:  20 November 2018

Kanghui Guo
Kanghui Guo*
Affiliation:
Department of Mathematics Southwest Missouri State University Springfield, Missouri 65804 U.S.A.
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Abstract

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A subset M of Rn is said to be p-thin if T ∊ FLP(Rn) and supp(T) ⊂ M imply T = 0. For a class of smooth (n — 1 )-dimensional submanifolds of Rn, we obtain the optimal result for the p-thin problem, which is applied to give the complete solution to a uniqueness problem of wave equations.

Keywords

43A45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 1 , 01 March 1993 , pp. 64 - 73
Copyright
Copyright © Canadian Mathematical Society 1993

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