Publisher's Synopsis
Simple inequalities for the Riemann problem for a Hamilton-Jacobi equation in N space dimension when neither the initial data nor the Hamiltonian need be convex (or concave) are presented. The initial data is globally continuous, affine in each orthant, with a possible jump in normal derivative across each coordinate plane, x sub i = 0. The inequalities become equalities wherever a maxmin equals a minmax and thus an exact closed form solution to this problem is then obtained. Osher, Stanley NASA-CR-181887, ICASE-89-53, NAS 1.26:181887, AD-A212619 NAS1-18107; NSF DMS-88-11863; N00014-86-K-0691; NAG1-270...
