Hamilton-Jacobi-Bellman Equations on Multi-Domains - Archive ouverte HAL Access content directly
Book Sections Year : 2013

Hamilton-Jacobi-Bellman Equations on Multi-Domains


A system of Hamilton Jacobi (HJ) equations on a partition of $\R^d$ is considered, and a uniqueness and existence result of viscosity solution is analyzed. While the notion of viscosity notion is by now well known, the question of uniqueness of solution, when the Hamiltonian is discontinuous, remains an important issue. A uniqueness result has been derived for a class of problems, where the behavior of the solution, in the region of discontinuity of the Hamiltonian, is assumed to be irrelevant and can be ignored (see reference [10]) . Here, we provide a new uniqueness result for a more general class of Hamilton-Jacobi equations.
Fichier principal
Vignette du fichier
Rao-Zidani-FinalVersion.pdf (537.02 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00803108 , version 1 (21-03-2013)



Zhiping Rao, Hasnaa Zidani. Hamilton-Jacobi-Bellman Equations on Multi-Domains. K. Bredies; C. Clason; K. Kunisch; G. von Winckel. Control and Optimization with PDE Constraints, 164, Springer, pp.93--116, 2013, International Series of Numerical Mathematics, 978-3-0348-0630-5. ⟨10.1007/978-3-0348-0631-2_6⟩. ⟨hal-00803108⟩
435 View
531 Download



Gmail Facebook X LinkedIn More