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Abstract
We consider the cubic fourth order nonlinear Schrödinger equation on the circle. In particular, we prove that the meanzero Gaussian measures on Sobolev spaces H^s(핋), s>3/4, are quasiinvariant under the flow.
Original language  English 

Pages (fromto)  11211168 
Number of pages  48 
Journal  Probability theory and related fields 
Volume  169 
Issue number  34 
Early online date  23 Dec 2016 
DOIs  
Publication status  Published  Dec 2017 
Keywords
 fourth order nonlinear Schrödinger equation
 biharmonic nonlinear Schrödinger equation
 Gaussian measure
 quasiinvariance
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Dive into the research topics of 'Quasiinvariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation'. Together they form a unique fingerprint.Projects
 1 Finished

ProbDynDispEq  Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
1/03/15 → 29/02/20
Project: Research