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Global existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains by Anton, Ramona is a scholarly article available to read on EtoBox.

What is Global existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains about?

We prove global wellposedness in the energy space of the defocusing cubic nonlinear Schroedinger and Gross-Pitaevskii equations on the exterior of a non-trapping domain in dimension 3. The main ingredient is a Strichartz estimate obtained combining a semi-classical Strichartz estimate with a smoothing effect on exterior domains.

Author

Anton, Ramona

Published

2007

Language

EN