On decay of periodic entropy solutions to a scalar conservation law
Annales de l'I.H.P. Analyse non linéaire, Volume 30 (2013) no. 6, p. 997-1007

We establish a necessary and sufficient condition for decay of periodic entropy solutions to a multidimensional conservation law with merely continuous flux vector.

Nous considérons les lois de conservation [hyperboliques] en plusieurs dimensions dʼespace avec la fonction de flux seulement continue. Nous établissons une condition nécessaire et suffisante pour la décroissance des solutions entropiques périodiques de ce problème.

DOI : https://doi.org/10.1016/j.anihpc.2012.12.009
Classification:  35L65,  35B10,  35B35
Keywords: Conservation laws, Periodic entropy solutions, Decay property, H-measures
@article{AIHPC_2013__30_6_997_0,
author = {Panov, E.Yu.},
title = {On decay of periodic entropy solutions to a scalar conservation law},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {30},
number = {6},
year = {2013},
pages = {997-1007},
doi = {10.1016/j.anihpc.2012.12.009},
zbl = {1288.35347},
mrnumber = {3132413},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2013__30_6_997_0}
}

Panov, E.Yu. On decay of periodic entropy solutions to a scalar conservation law. Annales de l'I.H.P. Analyse non linéaire, Volume 30 (2013) no. 6, pp. 997-1007. doi : 10.1016/j.anihpc.2012.12.009. http://www.numdam.org/item/AIHPC_2013__30_6_997_0/

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