A direct proof of the equivalence between the entropy solutions of conservation laws and viscosity solutions of Hamilton-Jacobi equations in one-space variable.
@article{05224579,
title = {A direct proof of the equivalence between the entropy solutions of conservation laws and viscosity solutions of Hamilton-Jacobi equations in one-space variable.},
journal = {JIPAM. Journal of Inequalities in Pure \& Applied Mathematics [electronic only]},
volume = {7},
year = {2006},
zbl = {1133.35330},
language = {en},
url = {http://dml.mathdoc.fr/item/05224579}
}
Aaibid, M.; Sayah, A. A direct proof of the equivalence between the entropy solutions of conservation laws and viscosity solutions of Hamilton-Jacobi equations in one-space variable.. JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only], Tome 7 (2006) . http://gdmltest.u-ga.fr/item/05224579/