Open Access
April, 2006 Irregularities of microhyperbolic operators
Keisuke UCHIKOSHI
J. Math. Soc. Japan 58(2): 453-484 (April, 2006). DOI: 10.2969/jmsj/1149166784

Abstract

We consider well-posedness of microhyperbolic Cauchy problems in the category of microlocal ultradistributions. For this purpose, we discuss about the expression of microdifferential operators, and define their irregularities. This enables us to give a general theory about the well-posedness.

Citation

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Keisuke UCHIKOSHI. "Irregularities of microhyperbolic operators." J. Math. Soc. Japan 58 (2) 453 - 484, April, 2006. https://doi.org/10.2969/jmsj/1149166784

Information

Published: April, 2006
First available in Project Euclid: 1 June 2006

zbMATH: 1106.35156
MathSciNet: MR2228568
Digital Object Identifier: 10.2969/jmsj/1149166784

Subjects:
Primary: 35S10
Secondary: 35L30 , 35L80

Keywords: Cauchy problem , Levi condition , ultradistribution

Rights: Copyright © 2006 Mathematical Society of Japan

Vol.58 • No. 2 • April, 2006
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