Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898956 | Journal of Differential Equations | 2018 | 43 Pages |
Abstract
We consider the Cauchy problem for the generalized Zakharov-Kuznetsov equation âtu+âx1Îu=âx1(um+1) on three and higher dimensions. We mainly study the local well-posedness and the small data global well-posedness in the modulation space M2,10(Rn) for mâ¥4 and nâ¥3. We also investigate the quartic case, i.e., m=3.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tomoya Kato,