✦ LIBER ✦
Linear Recursive Schemes and Asymptotic Expansion Associated with the Kirchoff–Carrier Operator
✍ Scribed by Nguyen Thanh Long; Alain Pham Ngoc Dinh; Tran Ngoc Diem
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 150 KB
- Volume
- 267
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
1 2 3 where b 0 > 0 is a given constant and B f are the given functions. In Eq. ( 1) the function B ∇u 2 depends on the integral ∇u 2 = ∇u x t 2 dx. In this paper we associate with problem (1)-(3) a linear recursive scheme for which the existence of a local and unique solution is proved by using the standard compactness argument.
then an asymptotic expansion of order 2 in ε is obtained with a right-hand side of the form f x t u u x u t + εf 1 x t u u x u t , and B stands for B + εB 1 , for ε sufficiently small. 2002 Elsevier Science (USA)