On hypoellipticity for a class of pseudo-differential operators

DOI10.21099/TKBJM/1496164149zbMath0994.35126OpenAlexW1482995624MaRDI QIDQ5939525

Nobuo Nakazawa

Publication date: 7 October 2002

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496164149

zbMATH Keywords

a priori estimate in weighted Sobolev spaceshypoellipticity

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Hypoelliptic equations (35H10) Pseudodifferential operators (47G30)

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On hypoellipticity of the operator \(\exp[-|x_1|^{-\sigma}D_1^2+x_1^4D_2^2+1\)]

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