Title of article
KdV equation in domains with moving boundaries
Author/Authors
Gleb G. Doronin، نويسنده , , Nikolai A. Larkin، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
15
From page
503
To page
517
Abstract
The initial-boundary value problem in a bounded domain with moving boundaries and nonhomogeneous
boundary conditions for the Korteweg–de Vries equation is considered. Existence and uniqueness of global
strong solutions are proved as well as the exponential decay of small solutions in asymptotically cylindrical
domains.
© 2006 Elsevier Inc. All rights reserved.
Keywords
regularization , Faedo–Galerkin method , KdV equation , global existence , stability
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935458
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