A(x) is a positive locally Lipschitz map from R-N to the space of symmetric matrices. Since no growth condition on A is assumed, pathological phenomena can occur. We study the problem in the framework of discontinuous viscosity solutions and we get some comparison results and a representation formula for the minimal solution of the problem.
Discontinuous solutions of a Hamilton-Jacobi equation with infinite speed of propagation
CAMILLI, FABIO;
1997-01-01
Abstract
A(x) is a positive locally Lipschitz map from R-N to the space of symmetric matrices. Since no growth condition on A is assumed, pathological phenomena can occur. We study the problem in the framework of discontinuous viscosity solutions and we get some comparison results and a representation formula for the minimal solution of the problem.File in questo prodotto:
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