Decay of solutions to anisotropic conservation laws with large initial data

作者：Li, Kaiqiang^*; Wang, Weike

来源：Journal of Mathematical Analysis and Applications, 2018, 468(2): 674-694.

DOI：10.1016/j.jmaa.2018.08.048

• Anisotropic conservation law
• Large time behavior
• Cauchy problem
• Time-frequency decomposition
• Energy method

In this paper, we study the large time behavior of solutions to the Cauchy problem for the anisotropic conservation laws in two dimensional space. Without any smallness assumption on the initial data, the decay rates of solutions in L-2 space and homogeneous Sobolev space (H)over dot(gamma) are obtained by using the method of time-frequency decomposition and the classical energy method.

• 出版日期2018-12-15
• 单位上海交通大学