Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840906 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 13 Pages |
Abstract
The global weak solutions for the Degasperis–Procesi equation with weakly dissipative term are investigated. Provided that u0∈H1(R)u0∈H1(R), y0=(1−∂x2)u0∈M(R), suppy0−⊂(−∞,x0) and suppy0+⊂(x0,∞), the existence and uniqueness of global weak solutions for the equation are shown to be true in the space Wloc1,∞(R+×R)∩Lloc∞(R+;H1(R)).
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Authors
Yunxi Guo, Shaoyong Lai, Ying Wang,