Cycle characterization of the Aubry set for weakly coupled Hamilton–Jacobi systems
نویسندگان
چکیده
منابع مشابه
Aubry Sets for Weakly Coupled Systems of Hamilton-Jacobi Equations
We introduce the notion of Aubry set for weakly coupled systems of Hamilton–Jacobi equations on the torus and characterize it as the region where the obstruction to the existence of globally strict critical subsolutions concentrates. As in the case of a single equation, we prove the existence of critical subsolutions which are strict and smooth outside the Aubry set. This allows us to derive in...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2018
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s021919971750095x