In this paper we study the Hamilton-Jacobi equation H(x, Du) = F(x) in a bounded locally Lipschitz domain Omega --> R-n with Dirichlet boundary conditions. H and f are nonnegative continuous functions and f can have a very general zero set. A characterization of maximal subsolutions by means of viscosity test functions is obtained and some stability results are proved.
Maximal subsolutions for a class of degenerate Hamilton-Jacobi equations / Siconolfi, Antonio; Camilli, Fabio. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - STAMPA. - 48:(1999), pp. 1111-1131.
Maximal subsolutions for a class of degenerate Hamilton-Jacobi equations
SICONOLFI, Antonio;CAMILLI, FABIO
1999
Abstract
In this paper we study the Hamilton-Jacobi equation H(x, Du) = F(x) in a bounded locally Lipschitz domain Omega --> R-n with Dirichlet boundary conditions. H and f are nonnegative continuous functions and f can have a very general zero set. A characterization of maximal subsolutions by means of viscosity test functions is obtained and some stability results are proved.File allegati a questo prodotto
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