On Borel summable solutions of the multidimensional heat equation

• Autorzy: Sławomir Michalik
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 2
• Strony: 167-177

Daty

wydano

2012

Twórcy

autor

Sławomir Michalik

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21, Śniadeckich 8, 00-956 Warszawa, Poland
• Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Wóycickiego 1/3, 01-938 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap105-2-5