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Preprint 2015-010

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

E.Yu. Panov

Abstract: 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.

Paper:
Available as PDF (214 Kbytes).
Author(s):
E.Yu. Panov
Submitted by:
; 2015-04-03.
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Last modified: 2015-04-03 12:19 UTC