Weak KAM aspects of convex Hamilton–Jacobi equations with Neumann type boundary conditions
نویسندگان
چکیده
منابع مشابه
Weak Kam Aspects of Convex Hamilton-jacobi Equations with Neumann Type Boundary Conditions
We study convex Hamilton-Jacobi equations H(x,Du) = a and ut+H(x,Du) = a in a bounded domain Ω of R with the Neumann type boundary condition Dγu = g in the viewpoint of weak KAM theory, where γ is a vector field on the boundary ∂Ω pointing a direction oblique to ∂Ω. We establish the stability under the formations of infimum and of convex combinations of subsolutions of convex HJ equations, some...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2011
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2010.10.006