Decay of solutions to anisotropic conservation laws with large initial data

[摘要] 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. (C) 2018 Elsevier Inc. All rights reserved.

[发布日期] 2018-12-15

[关键词] Anisotropic conservation law;Large time behavior;Cauchy problem;Time-frequency decomposition;Energy method