Borel summability for a formal solution of ∂/∂t u(t,x) = (∂/∂x)² u(t,x) + t(t∂/∂t)³ u(t,x)
Banach Center Publications (2012)
- Volume: 97, Issue: 1, page 161-168
- ISSN: 0137-6934
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topHiroshi Yamazawa. "Borel summability for a formal solution of ∂/∂t u(t,x) = (∂/∂x)² u(t,x) + t(t∂/∂t)³ u(t,x)." Banach Center Publications 97.1 (2012): 161-168. <http://eudml.org/doc/281767>.
@article{HiroshiYamazawa2012,
abstract = {In this paper we study the Borel summability of a certain divergent formal power series solution for an initial value problem. We show the Borel summability under the condition that an initial value function ϕ(x) is an entire function of exponential order at most 2.},
author = {Hiroshi Yamazawa},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {161-168},
title = {Borel summability for a formal solution of ∂/∂t u(t,x) = (∂/∂x)² u(t,x) + t(t∂/∂t)³ u(t,x)},
url = {http://eudml.org/doc/281767},
volume = {97},
year = {2012},
}
TY - JOUR
AU - Hiroshi Yamazawa
TI - Borel summability for a formal solution of ∂/∂t u(t,x) = (∂/∂x)² u(t,x) + t(t∂/∂t)³ u(t,x)
JO - Banach Center Publications
PY - 2012
VL - 97
IS - 1
SP - 161
EP - 168
AB - In this paper we study the Borel summability of a certain divergent formal power series solution for an initial value problem. We show the Borel summability under the condition that an initial value function ϕ(x) is an entire function of exponential order at most 2.
LA - eng
UR - http://eudml.org/doc/281767
ER -
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