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Neumann-Type Boundary Conditions for Hamilton-Jacobi Equations in Smooth Domains

✍ Scribed by Martin V. Day


Book ID
105936786
Publisher
Springer
Year
2006
Tongue
English
Weight
295 KB
Volume
53
Category
Article
ISSN
0095-4616

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Weak KAM aspects of convex Hamilton–Jaco
✍ Hitoshi Ishii πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 344 KB

We study convex Hamilton-Jacobi equations H (x, Du) = 0 and u t + H (x, Du) = 0 in a bounded domain Ξ© of R n with the Neumann type boundary condition D Ξ³ u = g in the viewpoint of weak KAM theory, where Ξ³ is a vector field on the boundary βˆ‚Ξ© pointing a direction oblique to βˆ‚Ξ©. We establish the stabi