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Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions

✍ Scribed by Hitoshi Ishii

Publisher
Springer
Year
2010
Tongue
English
Weight
281 KB
Volume
42
Category
Article
ISSN
0944-2669

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Weak KAM aspects of convex Hamilton–Jaco
Weak KAM aspects of convex Hamilton–Jacobi equations with Neumann type boundary conditions
✍ Hitoshi Ishii 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 344 KB

We study convex Hamilton-Jacobi equations H (x, Du) = 0 and u t + H (x, Du) = 0 in a bounded domain Ω of R n with the Neumann type boundary condition D γ u = 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 stabi