# E.J.P. Georg SCHMIDT

**E-mail:**
gschmidt@math.mcgill.ca or

**Office:** Burnside Hall, Room 1220

**Office Hours:** TWTh 11:00-12:00 or by appointment.

**Office Phone:** (514)398-3844

**Departmental FAX:** (514) 398-3899

## Graduate Program Director

#### Fall Semester

## Research Interests - past and present

My research interests lie in problems which are analytic in character but
have a physical context. My doctoral thesis (written under the supervision
of Ralph Phillips at Stanford) dealt with the scattering of electromagnetic
waves by an obstacle. Later I worked for some years on potential scattering
for the Schroedinger equation. Subsequently I started working on control
problems in which boundary data for initial, boundary value problems for
partial differential equations are to be chosen so that the solutions have
some desired behaviour. I first worked with the heat equation, later turning
to hyperbolic equations and particularly systems of hyperbolic equations
governing the vibrations in mechanical structures which may consist of many
coupled elements. In recent years I have worked on the controlled motion of
mechanical systems from equilibrium in one location to equilibrium at another
location. Currently I have also become interested in the control and
stabilization of flows through networks of canals. The tools I use come from
the theory of partial differential equations and functional analysis:
in particular hyperbolic systems, semigroup theory, variational
methods and implicit function theorems.

## Research Publications

*August 21, 2006*