2009-12-01, English, Article, Report edition: Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables.(Report) Balser, Werner; Loday-Richaud, Michele

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Physical Description
  • 6309 words
  • Report
  • Magazine/​Journal article
Published
  • Research India Publications, 2009 Dec
Language
  • English

Edition details

Title
  • Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables.(Report)
Also Titled
  • Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables.
Appears In
  • Advances in Dynamical Systems and Applications, v.4, no.2, 2009 Dec, p.159(19) (ISSN: 0973-5321)
Author
  • Balser, Werner
  • Loday-Richaud, Michele
Published
  • Research India Publications, 2009 Dec
Physical Description
  • 6309 words
  • Report
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • We investigate Gevrey order and 1-summability properties of the formal solution of a general heat equation in two variables. In particular, we give necessary and sufficient conditions for the 1-summability of the solution in a given direction. When restricted to the case of constants coefficients, these conditions coincide with those given by D. A. Lutz, M. Miyake, R. Schafke in a 1999 article [8], and we thus provide a new proof of their result. AMS Subject Classifications: 35C10, 35C20, 35K05, 40B05. Keywords: Heat equation, Gevrey series, 1-summability.
Terms of Use
  • COPYRIGHT 2009 Research India Publications
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 331688265

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