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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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