Global well-posedness of the KP-I initial-value problem in the energy space

A. D. Ionescu, C. E. Kenig, D. Tataru

Research output: Contribution to journalArticle

76 Scopus citations

Abstract

We prove that the KP-I initial-value problem {∂tu + ∂x3u - ∂x -1y2u + ∂x(u 2/2) = 0 on ℝx,y2 × ℝt; u(0) = φ, is globally well-posed in the energy space E1(ℝ2) = {φ : ℝ2 → ℝ : ∥φ∥E1(ℝ2) ≈ ∥φ∥L2 + ∥∂xφ∥L2 + ∥∂x -1yφ∥L2 < ∞}.

Original languageEnglish (US)
Pages (from-to)265-304
Number of pages40
JournalInventiones Mathematicae
Volume173
Issue number2
DOIs
StatePublished - Aug 1 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Global well-posedness of the KP-I initial-value problem in the energy space'. Together they form a unique fingerprint.

  • Cite this