Please use this identifier to cite or link to this item:
|Type:||Artigo de periódico|
|Title:||A note on the 2D generalized Zakharov-Kuznetsov equation: Local, global, and scattering results|
|Abstract:||We consider the generalized two-dimensional Zakharov-Kuznetsov equation u(t) + partial derivative(x)Delta u + partial derivative(x)(u(k+1)) = 0, where k >= 3 is an integer number. For k >= 8 we prove local well-posedness in the L-2-based Sobolev spaces H-s(R-2), where s is greater than the critical scaling index s(k) = 1 - 2/k. For k >= 3 we also establish a sharp criteria to obtain global H-1(R-2) solutions. A nonlinear scattering result in H-1(R-2) is also established assuming the initial data is small and belongs to a suitable Lebesgue space. (c) 2012 Elsevier Inc. All rights reserved.|
|Subject:||Local and global well-posedness|
|Editor:||Academic Press Inc Elsevier Science|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.