The method of Frobenius to Fuchsian partial differential equations

• MANDAI Takeshi

  Faculty of Engineering Gifu University

Bibliographic Information

Other Title

• method of Frobenius to Fuchsian partial differential equations

Abstract

To Fuchsian partial differential equations in the sense of M. S. Baouendi and C. Goulaouic, which is a natural extension of ordinary differential equations with regular singularity at a point, all the solutions in a complex domain are constructed along the same line as the method of Frobenius to ordinary differential equations, without any assumptions on the characteristic exponents. The same idea can be applied to Fuchsian hyperbolic equations considered by H. Tahara.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 52 (3), 645-672, 2000

  The Mathematical Society of Japan

Keywords

• The method of Frobenius
• Fuchsian partial differential equation
• regular singularity
• characteristic exponent
• characteristic index

Details

• CRID: 1390001205116376960
• NII Article ID: 10004480542
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05230645
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1760611
• NDL BIB ID: 5475647
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5475647
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed