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Hypoellipticity of Some Degenerate Subelliptic Operators

โœ Scribed by J.J Kohn

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
253 KB
Volume
159
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

The purpose of this paper is to establish the following result. Let L 1 and L 2 be subelliptic operators on R n

x and R m y , respectively. Assume that * # C (R n x ) with * 0, assume that * has a zero of infinite order at the origin and that all other zeroes of * are of finite order. Then the operator L=L 1 +*L 2 is hypoelliptic. 1998 Academic Press for example, Bell and Mohamed [BM], Christ [Ch], Kusuoka and Stroock [KS], and Morimoto [M]). This work has been motivated by the article no.

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