On the Borel summable solutions of multi- dimensional heat equation
نویسنده
چکیده
We give a new characterisation of Borel summability of formal power series solutions to the n-dimensional heat equation in terms of holomorphic properties of the integral means of the Cauchy data. We also derive the Borel sum for the summable formal solutions. Mathematics Subject Classification (2010). 35K05, 35C10.
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تاریخ انتشار 2011