A direct proof of the equivalence between the entropy solutions of conservation laws and viscosity solutions of Hamilton-Jacobi equations in one-space variable.

Aaibid, M.; Sayah, A.

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only] (2006)

  • Volume: 7, Issue: 2, page Paper No. 64, 11 p., electronic only-Paper No. 64, 11 p., electronic only
  • ISSN: 1443-5756

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Aaibid, M., and 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] 7.2 (2006): Paper No. 64, 11 p., electronic only-Paper No. 64, 11 p., electronic only. <http://eudml.org/doc/128638>.

@article{Aaibid2006,
author = {Aaibid, M., Sayah, A.},
journal = {JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]},
keywords = {front tracking method; Crandall-Lions viscosity solution; Kruzkov-Vol'pert entropy solution},
language = {eng},
number = {2},
pages = {Paper No. 64, 11 p., electronic only-Paper No. 64, 11 p., electronic only},
publisher = {Victoria University, School of Communications and Informatics},
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.},
url = {http://eudml.org/doc/128638},
volume = {7},
year = {2006},
}

TY - JOUR
AU - Aaibid, M.
AU - Sayah, A.
TI - A direct proof of the equivalence between the entropy solutions of conservation laws and viscosity solutions of Hamilton-Jacobi equations in one-space variable.
JO - JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
PY - 2006
PB - Victoria University, School of Communications and Informatics
VL - 7
IS - 2
SP - Paper No. 64, 11 p., electronic only
EP - Paper No. 64, 11 p., electronic only
LA - eng
KW - front tracking method; Crandall-Lions viscosity solution; Kruzkov-Vol'pert entropy solution
UR - http://eudml.org/doc/128638
ER -

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