Student Harmonic Analysis and PDE Seminar (HADES): Stokes' theorem and construction of an invariant measure on an $L^2$ ball
Seminar | November 7 | 3:40-5 p.m. | 891 Evans Hall
Justin Brereton, UC Berkeley
An invariant measure is useful in proving almost sure well-posedness of a PDE on a compact set. Thomann and Tzvetkov constructed an invariant measure for the derivative nonlinear Schrodinger (DNLS) equation on the torus. In this talk we construct a DNLS-invariant measure on the set of functions with $L^2(T)$ norm equal to a fixed value $m$, by an argument that is similar to Stokes' theorem, but in infinitely many dimensions.