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Letters in Mathematical Physics

, Volume 40, Issue 1, pp 59–73 | Cite as

Nonsingularity of the Direct Scattering Transform for the KP II Equation with a REal Exponentially Decaying-at-Infinity Potential

  • P. G. GRINEVICH
Article

Abstract

We study the direct spectral transform for the heat equation associated with the Kadomtsev-Petviashvili. We show that, for real nonsingular exponentially decaying-at-infinity potential, the directproblem is nonsingular for arbitrarily large potentials. Earlier, thisstatement was proved only for potentials satisfying the ‘small norm’assumption.

Kadomtsev-Petviashvili (KP) equation spectral transform scattering theory. 

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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • P. G. GRINEVICH
    • 1
  1. 1.Landau Institute for Theoretical PhysicsMoscowRussia

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