Isabeau Birindelli

Sapienza Univ. Di Roma, Italy

Title: A test function approach to problems in thin domains

Abstract: In the last year,in collaboration with Ariela Briani and Hitoshi Ishii we have extended the classical result on thin domains that was started by Hale and Raugel to viscosity solutions setting. Our approach differs from those that have characterize all the subsequent works of e.g. Arrieta, Pereira and al. in the sense that we use an à la Evans technique often called the test function approach. It allows to treat fully nonlinear equations, oblique boundary conditions, etc...