Summability of Solutions of the Heat Equation with Inhomogeneous Thermal Conductivity in Two Variables
نویسندگان
چکیده
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. Schäfke in a 1999 article [8], and we thus provide a new proof of their result. AMS Subject Classifications: 35C10, 35C20, 35K05, 40B05.
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