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Asymptotic behavior of the first order obstacle problem. (English) Zbl 0674.35011
This work is concerned with the asymptotic behaviour as \(\lambda\) \(\to 0\) of the viscosity solutions to the obstacle problem: \[ \max \{u(x)-\psi (x);\quad \lambda u(x)-g(x).Du(x)-f(x)\}=0,\quad x\in \Omega. \]
Reviewer: V.Barbu

MSC:
35F20 Nonlinear first-order PDEs
35B40 Asymptotic behavior of solutions to PDEs
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
49L20 Dynamic programming in optimal control and differential games
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