Statistical mechanics of nonlinear wave equations (4): Cubic Schrödinger

H. P. McKean

Research output: Contribution to journalArticle

Abstract

The cubic Schrödinger equation is considered on the circle, both in the de-focussing and the focussing case. The existence of the flow is proved together with the invariance of the appropriate Gibbsian measure, namely the petit canonical measure in the defocussing case and the micro-canonical measure in the focussing case.

Original languageEnglish (US)
Pages (from-to)479-491
Number of pages13
JournalCommunications in Mathematical Physics
Volume168
Issue number3
DOIs
StatePublished - Apr 1995

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Nonlinear Wave Equation
statistical mechanics
Statistical Mechanics
wave equations
cubic equations
Cubic equation
invariance
Invariance
Circle

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Statistical mechanics of nonlinear wave equations (4) : Cubic Schrödinger. / McKean, H. P.

In: Communications in Mathematical Physics, Vol. 168, No. 3, 04.1995, p. 479-491.

Research output: Contribution to journalArticle

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