On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations

Details On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations

2009-04-09

arxiv.org/abs/0904.1514v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-408668