On Borel summable solutions of the multidimensional heat equation
Annales Polonici Mathematici (2012)
- Volume: 105, Issue: 2, page 167-177
- ISSN: 0066-2216
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topSławomir Michalik. "On Borel summable solutions of the multidimensional heat equation." Annales Polonici Mathematici 105.2 (2012): 167-177. <http://eudml.org/doc/280874>.
@article{SławomirMichalik2012,
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.},
author = {Sławomir Michalik},
journal = {Annales Polonici Mathematici},
keywords = {formal power series; mean-values},
language = {eng},
number = {2},
pages = {167-177},
title = {On Borel summable solutions of the multidimensional heat equation},
url = {http://eudml.org/doc/280874},
volume = {105},
year = {2012},
}
TY - JOUR
AU - Sławomir Michalik
TI - On Borel summable solutions of the multidimensional heat equation
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 2
SP - 167
EP - 177
AB - 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.
LA - eng
KW - formal power series; mean-values
UR - http://eudml.org/doc/280874
ER -
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