Using System Theory to prove Existence of Non-Linear PDE's.

Hans Zwart (1) , Yann Le Gorrec (2) , Bernhard Maschke (3)

1 University of Twente
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
3 LAGEP - Laboratoire d'automatique et de génie des procédés

In this discussion paper we present an idea of using techniques known from systems theory to show existence for a class of non-linear partial differential equations (pde's). At the end of the paper a list of research questions and possible approaches is given.

Domaines: Automatique / Robotique

Hans Zwart, Yann Le Gorrec, Bernhard Maschke. Using System Theory to prove Existence of Non-Linear PDE's.. 1er IFAC Workshop Control of Systems Governed by Partial Differential Equations, CPDE'13., Jan 2013, France. pp.1-3. ⟨hal-00910951⟩