On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations
| dc.creator | Gruenrock, Axel | |
| dc.date | 2009-04-09 | |
| dc.date.accessioned | 2026-07-07T13:01:57Z | |
| dc.date.available | 2026-07-07T13:01:57Z | |
| dc.description | The Cauchy-problem for the generalized Kadomtsev-Petviashvili-II equation $$u_t + u_{xxx} + \partial_x^{-1}u_{yy}= (u^l)_x, \quad l \ge 3,$$ is shown to be locally well-posed in almost critical anisotropic Sobolev spaces. The proof combines local smoothing and maximal function estimates as well as bilinear refinements of Strichartz type inequalities via multilinear interpolation in $X_{s,b}$-spaces. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0904.1514 | |
| dc.identifier | http://arxiv.org/abs/0904.1514 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226322 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53 | |
| dc.title | On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations | |
| dc.type | text |