Weighted low-regularity solutions of the KP-I initial-value problem

J. Colliander, A. D. Ionescu, C. E. Kenig, G. Staffilani

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish (US)
Pages (from-to)219-258
Number of pages40
JournalDiscrete and Continuous Dynamical Systems
Volume20
Issue number2
DOIs
StatePublished - Feb 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Keywords

  • Dispersion function
  • KP-I equation
  • Well-posedness

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