关键词: parabolic conservation law, periodic solution, large initial data, exponential decay

Abstract: In this paper, we study the large-time behavior of periodic solutions for parabolic conservation laws. There is no smallness assumption on the initial data. We firstly get the local existence of the solution by the iterative scheme, then we get the exponential decay estimates for the solution by energy method and maximum principle, and obtain the global solution in the same time.

Key words: parabolic conservation law, periodic solution, large initial data, exponential decay