Nonlinear versions of the Banach-Schauder open mapping theorem

Description:  I will present nonlinear versions of the Banach-Schauder open mapping theorem. They apply to constant-coefficient PDEs (and initial value problems) that are scaling-invariant and preserved under weak-* convergence. As a first application, I will present a partial result on a long-standing problem of Coifman, Lions, Meyer and Semmes regarding the prescribed Jacobian equation. I will also state relatively simple corollaries on the energy decay of solutions of the Euler equations. The talk is based on joint work with A. Guerra and L. Koch. Date:  2022-02-04 Start Time:   14:30 Speaker:  Sauli Lindberg (Univ. Helsinki, Finland) Institution:  Univ. Helsinki, Finland Place:  https://videoconf-colibri.zoom.us/j/89099712659?pwd=bjdveEI1b1dZRm9vbG5jOHhqZjlEdz09 Research Groups: -Analysis See more:   <Main>