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arXiv · 1706.08121

Large time behavior of solutions for a Cauchy problem on nonlinear conservation laws with large initial data in the whole space

Lingyu Jin·Lang Li·Shaomei Fang
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Abstract

We consider the Cauchy problem on a nonlinear conversation law with large initial data. By Green's function methods, energy methods, Fourier analysis, frequency decomposition, pseudo-differential operators, we obtain the global existence and the optimal decay estimate of $t$.

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Lingyu Jin, Lang Li, Shaomei Fang. 2017-06-25. Large time behavior of solutions for a Cauchy problem on nonlinear conservation laws with large initial data in the whole space. https://doi.org/10.1002/mma.4670

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