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; Siconolfi, Antonio. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 1095-7154. - 28:(1997), pp. 1421-1447. [10.1137/S0036141096298047]
Discontinuous solutions of a Hamilton-Jacobi equation with infinite speed of propagation
CAMILLI, FABIO;SICONOLFI, Antonio
1997
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 allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
