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

H. P. McKean

doi:10.1007/BF02101840

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

H. P. McKean

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	479-491
Number of pages	13
Journal	Communications In Mathematical Physics
Volume	168
Issue number	3
DOIs	https://doi.org/10.1007/BF02101840
State	Published - Apr 1995

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02101840

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title = "Statistical mechanics of nonlinear wave equations (4): Cubic Schr{\"o}dinger",

abstract = "The cubic Schr{\"o}dinger 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.",

author = "McKean, {H. P.}",

year = "1995",

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AB - 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.

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JO - Communications In Mathematical Physics

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

Abstract

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