DISCONTINUOUS SOLUTIONS OF A HAMILTON-JACOBI EQUATION WITH INFINITE SPEED OF PROPAGATION

Authors
CAMILLI F SICONOLFI A
Citation
F. Camilli et A. Siconolfi, DISCONTINUOUS SOLUTIONS OF A HAMILTON-JACOBI EQUATION WITH INFINITE SPEED OF PROPAGATION, SIAM journal on mathematical analysis, 28(6), 1997, pp. 1420-1445
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
6
Year of publication
1997
Pages
1420 - 1445
Database
ISI
SICI code
0036-1410(1997)28:6<1420:DSOAHE>2.0.ZU;2-H
Abstract
A(x) is a positive locally Lipschitz map from R-N to the space of symm etric matrices. Since no growth condition on A is assumed, pathologica l phenomena can occur. We study the problem in the framework of discon tinuous viscosity solutions and we get some comparison results and a r epresentation formula for the minimal solution of the problem.