Universit√© d’Aix-Marseille

Title: Recovery of nonlinear terms for reaction-diffusion equations

Abstract: In this talk, we consider the inverse problem of determining a
general semilinear term appearing in a  nonlinear   parabolic  equation.
Our goal is to determine the nonlinear term from lateral boundary
measurements of solutions of the equation with initial condition fixed at
zero. For this purpose, we derive a new criterion allowing to prove such a
result for some general class of semilinear terms. This talk is based on
some joint work with Gunther Uhlmann.