Maximal subsolutions for a class of degenerate Hamilton-Jacobi problems

Authors
Camilli, F Siconolfi, A
Citation
F. Camilli et A. Siconolfi, Maximal subsolutions for a class of degenerate Hamilton-Jacobi problems, INDI MATH J, 48(3), 1999, pp. 1111-1131
Citations number
12
Categorie Soggetti
Mathematics
Journal title
INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN journal
00222518 → ACNP
Volume
48
Issue
3
Year of publication
1999
Pages
1111 - 1131
Database
ISI
SICI code
0022-2518(199923)48:3<1111:MSFACO>2.0.ZU;2-9
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 prov ed.