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Fully nonlinear Neumann type boundary conditions for first-order Hamilton-Jacobi equations. (English) Zbl 0736.35023
The authors investigate fully nonlinear Neumann type boundary conditions for first-order Hamilton-Jacobi equations, i.e. they handle the problem $H(x,u,\nabla u)=0 \quad\hbox { in } \Omega,\qquad F(x,u,\nabla u)=0 \quad\hbox { on } \partial\Omega, (*)$ where $$H$$ and $$F$$ have to satisfy certain structure conditions. Their main result is a uniqueness and existence result for $$(*)$$.
Reviewer: N.Jacob (Erlangen)

##### MSC:
 35F30 Boundary value problems for nonlinear first-order PDEs 70H20 Hamilton-Jacobi equations in mechanics 49L25 Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games 35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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