# 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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