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Optimal Control of the Propagation of a Graph in Inhomogeneous Media

journal contribution
posted on 2023-06-08, 04:53 authored by Klaus Deckelnick, Charles M Elliott, Vanessa StylesVanessa Styles
We study an optimal control problem for viscosity solutions of a Hamilton¿Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function. The existence of an optimal control is proved together with an approximate controllability result in the $H^{-1}$-norm. We prove convergence of a discrete optimal control problem based on a monotone finite difference scheme and describe some numerical results.

History

Publication status

  • Published

Journal

SIAM Journal on Control and Optimization

ISSN

0363-0129

Issue

3

Volume

48

Page range

1335-1352

Pages

18.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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