On Borel summable solutions of the multidimensional heat equation
Sławomir Michalik (2012)
Annales Polonici Mathematici
Similarity:
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.