Nonlinear open mapping principles, with applications to the Jacobian and the incompressible Euler equations


I will present a nonlinear version of the open mapping principle which applies to scale-invariant constant-coefficient PDEs which are preserved under weak* convergence. As a first application, I will consider the prescribed Jacobian equation, explaining the relation of our result with a long-standing problem by Coifman, Lions, Meyer and Semmes. As a second application, the incompressible Euler equations will be considered, showing that a Baire-generic initial datum does not admit dissipative solutions. This talk is based on joint work with Lukas Koch (Oxford) and Sauli Lindberg (Aalto).

Access the event online

Click here to access this online seminar. You should be able to watch the event via a browser window, or via the Microsoft Teams desktop application. The meeting will start at around 1.00pm London time.

Click here to get to the Junior Analysis Seminar webpage.

Registration is now closed. Add event to calendar
See all events