Abstract:
In this chapter, we introduce Hamilton-Jacobi PDEs. These PDEs are related to conservation laws and their solutions are the anti-derivative (in space) of the Entropy solutions of the corresponding conservation law, given that some assumptions are satisfied.
Publication date:
January 1, 2022
Publication type:
Book Chapter
Citation:
Bayen, A., Monache, M. L. D., Garavello, M., Goatin, P., & Piccoli, B. (2022). Control Problems for Hamilton-Jacobi Equations Co-authored by Alexander Keimer. In A. Bayen, M. L. Delle Monache, M. Garavello, P. Goatin, & B. Piccoli (Eds.), Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (pp. 139–157). Springer International Publishing. https://doi.org/10.1007/978-3-030-93015-8_6