- Tytuł:
- On the summability of divergent power series solutions for certain first-order linear PDES
- Autorzy:
- Hibino, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/255352.pdf
- Data publikacji:
- 2015
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
partial differential equation
divergent power series
summability
asymptotic expansion
analytic continuation
integro-differential equation
integral equation - Opis:
- This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficients of equations should satisfy in order to ensure the Borel summability of divergent solutions. We will see that there is a close affinity between the Borel summability of divergent solutions and global analytic continuation properties for coefficients of equations.
- Źródło:
-
Opuscula Mathematica; 2015, 35, 5; 595-624
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł