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A metric analysis of critical Hamilton--Jacobi equations in the stationary ergodic setting
Abstract : We adapt the metric approach to the study of stationary ergodic Hamilton-Jacobi equations, for which a notion of admissible random (sub)solution is defined. For any level of the Hamiltonian greater than or equal to a distinguished critical value, we define an intrinsic random semidistance and prove that an asymptotic norm does exist. Taking as source region a suitable class of closed random sets, we show that the Lax formula provides admissible subsolutions. This enables us to relate the degeneracies of the critical stable norm to the existence/nonexistence of exact or approximate critical admissible solutions.
https://hal.inria.fr/hal-00660435
Contributor : Estelle Bouzat <>
Submitted on : Monday, January 16, 2012 - 4:20:25 PM
Last modification on : Wednesday, July 27, 2016 - 2:48:48 PM
Contributor : Estelle Bouzat <>
Submitted on : Monday, January 16, 2012 - 4:20:25 PM
Last modification on : Wednesday, July 27, 2016 - 2:48:48 PM
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