Title of article
Generalized Korteweg–de Vries equation in H1®
Author/Authors
Tomasz Dlotko، نويسنده , , Maria B. Kania، نويسنده , , Meihua Yang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
14
From page
3934
To page
3947
Abstract
We consider the generalized KdV equation ut+uxxx+(g(u))x+γu=f(x)ut+uxxx+(g(u))x+γu=f(x), γ⩾0γ⩾0. We prove its local and global solvability in the phase space H1(R)H1(R) and next, when γ>0γ>0, we study asymptotic behavior of solutions constructing a global attractor of the generalized KdV equation in H1(R)H1(R)
Keywords
generalized KdV equation , Global solvability , Global attractor in H1®
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861501
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