where C.. C, are positive constants. We substitute ul')=v+I:N"x. (!..) ~+ e' N",,f 1 ax" ax" ax,. for u in (6.1) and group the terms of the same order in I: (by analogy with /9, 10/). Recalling relations (6.5), (6.6), and also estimates (6.10), (6.11) and the a priori estimate for the solution of a
β¦ LIBER β¦
Soliton asymptotics of non-localized solutions of non-linear evolutionary equations
β Scribed by I.A. Anders; E.Ya. Khruslov; V.P. Kotlyarov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 639 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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## Abstract Let Ξ© be a domain in β^__n__^ and let __m__Ο΅ β; be given. We study the initialβboundary value problem for the equation with a homogeneous Dirichlet boundary condition; here __u__ is a scalar function, \documentclass{article}\pagestyle{empty}\begin{document}$ \bar D\_x^m u: = (\partial \