Irregularities of microhyperbolic operators

• Uchikoshi Keisuke

  Department of Mathematics, National Defense Academy

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.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 58 (2), 453-484, 2006

  The Mathematical Society of Japan

Keywords

• Cauchy problem
• Levi conditio
• ultradistribution

Details

• CRID: 1390282680093227008
• NII Article ID: 10018381334
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/1149166784
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2228568
• NDL BIB ID: 7892126
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7892126
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed