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V. I. Smirnov Seminar on Mathematical Physics
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On decay of entropy solutions to scalar conservation laws E. Yu. Panov Yaroslav-the-Wise Novgorod State University |
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Abstract: We establish the long time decay property of an entropy solution to the Cauchy problem for a multidimensional conservation law with perturbed periodic initial data under the precise condition that the resonant flux components are not affine on any semi-vicinity of the mean. |