On viscosity solutions of Hamilton-Jacobi equations

Zagatti, Sandro

doi:10.1090/S0002-9947-08-04557-1

On viscosity solutions of Hamilton-Jacobi equations
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Trans. Amer. Math. Soc. 361 (2009), 41-59 Request permission

Abstract:

We consider the Dirichlet problem for Hamilton-Jacobi equations and prove existence, uniqueness and continuous dependence on boundary data of Lipschitz continuous maximal viscosity solutions.

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