L.C. Evans

University of California at Berkeley, EE.UU.

“Adjoint methods for nonlinear partial differential equations”

Resumen: In this expository talk I will first recall why it is often important to consider the adjoint operator associated with a given linear operator equation, for example a linear PDE.

I will then explain that if we want to study certain nonlinear PDE, it is equally important to study the adjoint of the linearization. I will present examples from optimal control, weak KAM theory, and nonconvex Hamilton-Jacobi equations.