Borel summability for a formal solution of ∂/∂t u(t,x) = (∂/∂x)² u(t,x) + t(t∂/∂t)³ u(t,x)

• Autorzy: Hiroshi Yamazawa
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34M25: Formal solutions, transform techniques
• 34M30: Asymptotics, summation methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 97
• Numer: 1
• Strony: 161-168

Daty

wydano

2012

Twórcy

autor

Hiroshi Yamazawa

• College of Engineering and Design, Shibaura Institute of Technology, 307 Hukasaku, Minuma-ku, 337-8570 Saitama, Japan

Identyfikatory

DOI

10.4064/bc97-0-12