关于$\R^n$的Bohr紧化的标量守恒律的Cauchy问题
On the Cauchy problem for scalar conservation laws on the Bohr compactification of $\R^n$
摘要：
本文研究了$\R^n$的Bohr紧化上的多维标量守恒律的Cauchy问题。在一般情况下，证明了熵解的存在唯一性。我们还提出了熵解随时间衰减的充要条件$t\to+\infty$ .
英文摘要：
We study the Cauchy problem for a multidimensional scalar conservation law on the Bohr compactification of $\R^n$. The existence and uniqueness of entropy solutions are established in the general case of merely continuous flux vector. We propose also the necessary and sufficient condition for the decay of entropy solutions as time $t\to+\infty$.
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