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Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables

Abstract : 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. Schaefke in a 1999 article, and we thus provide a new proof of their result.
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https://hal.archives-ouvertes.fr/hal-00364722
Contributor : Michèle Loday-Richaud <>
Submitted on : Thursday, February 26, 2009 - 8:39:55 PM
Last modification on : Monday, March 16, 2020 - 8:12:05 PM
Document(s) archivé(s) le : Tuesday, June 8, 2010 - 10:57:28 PM

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  • HAL Id : hal-00364722, version 1
  • ARXIV : 0902.4843

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Werner Balser, Michèle Loday-Richaud. Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables. Advances in Dynamical Systems and Applications, Dehli : Research India Publ., 2009, 4 (2), pp.159-177. ⟨hal-00364722⟩

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