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.
On viscosity solutions of Hamilton-Jacobi equations / Zagatti, Sandro. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 361:1(2009), pp. 41-59. [10.1090/S0002-9947-08-04557-1]
On viscosity solutions of Hamilton-Jacobi equations
Zagatti, Sandro
2009-01-01
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.File in questo prodotto:
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