The fifth order KP-II equation on the upper half-plane

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In this paper, we study the fifth order Kadomtsev-Petviashvili II (KP-II) equation on the upper half-plane U = {(x, y) ∈ R2 : y > 0}. In particular, we obtain low regularity local well-posedness using the restricted norm method of Bourgain and the Fourier-Laplace method of solving initial and boundary value problems. Moreover, we prove that the nonlinear part of the solution is in a smoother space than the initial data.

Original languageEnglish (US)
Pages (from-to)555-596
Number of pages42
JournalDifferential and Integral Equations
Issue number12
StatePublished - Nov 2020

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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