We study a class of weakly coupled systems of Hamilton–Jacobi equations using the random frame introduced in [9]. We provide a cycle condition characterizing the points of Aubry set. This generalizes a property already known in the scalar case.
CYCLE CHARACTERIZATION OF THE AUBRY SET FOR WEAKLY COUPLED HAMILTON{JACOBI SYSTEMS / Siconolfi, Antonio; Hassan, Ibrahim; Zabad, Sahar. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - (2018). [10.1142/s021919971750095X]
CYCLE CHARACTERIZATION OF THE AUBRY SET FOR WEAKLY COUPLED HAMILTON{JACOBI SYSTEMS
Antonio Siconolfi
;Sahar Zabad
2018
Abstract
We study a class of weakly coupled systems of Hamilton–Jacobi equations using the random frame introduced in [9]. We provide a cycle condition characterizing the points of Aubry set. This generalizes a property already known in the scalar case.File allegati a questo prodotto
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