Weak solutions of a mixed problem in a half-strip for a generalized Kawahara equation

We consider a mixed problem in a half-strip for a generalized Kawahara equation describing long nonlinear waves in inhomogeneous media with weak dispersion. We study the existence and uniqueness of generalized solutions in Sobolev weight spaces. © 2009 Pleiades Publishing, Ltd.

Authors
Sangare K. 1 , Faminskii A.V. 1
Journal
Mathematical Notes
Publisher
Pleiades Publishing, Ltd.
Issue number
1-2
Language
English
Pages
90-100
State
Published
Link
External link
DOI
10.1134/S000143460901009X
Volume
85
Year
2009
Organizations
  • 1 Peoples' Friendship University of Russia, Moscow, Russian Federation
Keywords
Inhomogeneous medium; Kawahara equation; Korteweg-de Vries (KdV) equation; Long nonlinear wave; Parseval's equality; Weak dispersion
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