Comparison principle for dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations |
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| Authors: | G. Barles B. Perthame |
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| Affiliation: | 1. Ceremade, Université de Paris IX Dauphine, Place de Lattre de Tassigny, 75775, Paris Cedex 16, France
2. CMA, Ecole Normale Supérieure, 45 Rue d'Ulm, 75230, Paris Cedex 05, France
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| Abstract: | Under a nondegeneracy condition on the boundary, we prove a comparison principle for discontinuous viscosity sub- and supersolutions of the generalized Dirichlet boundary-value problem for a first-order Hamilton-Jacobi equation
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