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
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
Journal title :
Nonlinear Analysis Theory, Methods & Applications
