Oberseminar Analysis

Null-controllability for the heat equation with equi-distributed and randomly distributed sensors

by Prof. Ivan Veselić (TU Dortmund)

Europe/Berlin
Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

Endenicher Allee 60/1-016 - Lipschitzsaal

Mathezentrum

90
Description

Abstract: We consider the heat equation on finite cubes and all of R^d. We give criteria for null-controllability from two different classes of sensor sets. The first consists of well-distributed deterministic balls, the second of balls around a Poisson point process. We focus on the latter case and discuss the dependence of the control cost on the intensity of the process and the size of the balls.

Organized by

JJL Velázquez