Borel summable solutions of the Burgers equation
Annales Polonici Mathematici (2009)
- Volume: 95, Issue: 2, page 187-197
- ISSN: 0066-2216
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topGrzegorz Łysik. "Borel summable solutions of the Burgers equation." Annales Polonici Mathematici 95.2 (2009): 187-197. <http://eudml.org/doc/280969>.
@article{GrzegorzŁysik2009,
abstract = {We give necessary and sufficient conditions for the formal power series solutions to the initial value problem for the Burgers equation $∂_t u -∂_x² u = ∂_x(u²)$ to be convergent or Borel summable.},
author = {Grzegorz Łysik},
journal = {Annales Polonici Mathematici},
keywords = {Burgers equation; analytic solutions; Borel summability; formal power series solution; Cole-Hopf transformation},
language = {eng},
number = {2},
pages = {187-197},
title = {Borel summable solutions of the Burgers equation},
url = {http://eudml.org/doc/280969},
volume = {95},
year = {2009},
}
TY - JOUR
AU - Grzegorz Łysik
TI - Borel summable solutions of the Burgers equation
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 2
SP - 187
EP - 197
AB - We give necessary and sufficient conditions for the formal power series solutions to the initial value problem for the Burgers equation $∂_t u -∂_x² u = ∂_x(u²)$ to be convergent or Borel summable.
LA - eng
KW - Burgers equation; analytic solutions; Borel summability; formal power series solution; Cole-Hopf transformation
UR - http://eudml.org/doc/280969
ER -
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