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
CAMILLI, FABIO
1999-01-01
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 in questo prodotto:
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