Vi invito tutti al Colloquium di Analisi di giovedi`prossimo 7 aprile, in aula magna alle 17.

Parler\a` il profprof. Jeffrey Rauch dell'Universita` del Michigan

su

Plane Waves, Rays, and Control

Abstract: Replacing derivatives by variables yield a one to one correspondencebetween linear partial differential operators and polynomials. A major theme in partial differential equations is to establish correspondences between the algebraic/geometric properties of thepolynomials and analytic properties of the differential operators. We discuss a variety of examples.

1. The method of characteristics in one dimensional hyperbolic partial differential equations,

2. Plane waves and speeds in dimension 1.

3. Plane waves and elliptic regularity.

4. Control of linear ordinary differential equations.

5. Control of the 1-d wave equation.

6. Nearly necessary and sufficient condition for boundary control of the wave equation (joint with C. Bardos and G. Lebeau).

Cordialmente

Antonio Marino