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

作者：Jin, Lingyu; Li, Lang; Fang, Shaomei^*

来源：Mathematical Methods in the Applied Sciences, 2018, 41(4): 1388-1409.

DOI：10.1002/mma.4670

• frequency decomposition
• large initial data
• time-decay estimate

We consider the Cauchy problem on a nonlinear conversation law with large initial data. By Green's function methods, energy methods, Fourier analysis, and frequency decomposition, we obtain the global existence and the optimal time-decay estimate of solutions.

• 出版日期2018-3-15
• 单位华南热带农业大学; 华南农业大学