Abstract
In this paper we correct the proofs of some statements that Colliander, Kenig and Staffilani made for the KP-I initial-value problem in [2]. These corrections actually give stronger well-posedness results than the one claimed in the above mentioned paper. The new proofs are inspired by those used by Ionescu-Kenig ([3, 4, 5]) in works on the Benjamin-Ono equation and on the Schrödinger map problems.
Original language | English (US) |
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Pages (from-to) | 219-258 |
Number of pages | 40 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 20 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2008 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- Dispersion function
- KP-I equation
- Well-posedness