# American Institute of Mathematical Sciences

June  2016, 11(2): 349-367. doi: 10.3934/nhm.2016.11.349

## On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws

 1 Novgorod State University, 41 B. Sankt-Peterburgskaya, 173003 Veliky Novgorod, Russian Federation

Received  April 2015 Revised  June 2015 Published  March 2016

We propose a new sufficient non-degeneracy condition for the strong precompactness of bounded sequences satisfying the nonlinear first-order differential constraints. This result is applied to establish the decay property for periodic entropy solutions to multidimensional scalar conservation laws.
Citation: Evgeny Yu. Panov. On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws. Networks & Heterogeneous Media, 2016, 11 (2) : 349-367. doi: 10.3934/nhm.2016.11.349
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