Abstract
We will prove the existence of an invariant measure for a nonlinear Schrodinger equation with random noise in R n . The existence of solutions of the Cauchy problem in H 1 - and L 2 -settings was established by de Bouard and Debussche [4, 5]. Here we discuss only the defocusing equation with a zero-order dissipation. The proof for the existence of an invariant measure is based on various energy estimates and the approximation scheme to construct solutions, which are also crucial for the existence of global solutions to the Cauchy problem.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
