| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841265 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 14 Pages |
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).
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Authors
Tomasz Dlotko, Maria B. Kania, Meihua Yang,