- 11-143 Slawomir Michalik
- On the Borel summable solutions of multidimensional heat equation
Oct 6, 11
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Abstract. 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.