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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.
https://hal.archives-ouvertes.fr/hal-00364722
Contributor : Michèle Loday-Richaud Connect in order to contact the contributor
Submitted on : Thursday, February 26, 2009 - 8:39:55 PM
Last modification on : Friday, April 8, 2022 - 1:44:11 PM
Long-term archiving on: : Tuesday, June 8, 2010 - 10:57:28 PM
Contributor : Michèle Loday-Richaud Connect in order to contact the contributor
Submitted on : Thursday, February 26, 2009 - 8:39:55 PM
Last modification on : Friday, April 8, 2022 - 1:44:11 PM
Long-term archiving on: : Tuesday, June 8, 2010 - 10:57:28 PM
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