具小全变差拟线性双曲组的整体经典解(英文)

Global Classical Solution with Small Initial Total Variation for Quasilinear Hyperbolic Systems

对一阶拟线性双曲组具慢衰减小全变差初值的C auchy问题得到了整体经典解的结果,并且给出一个应用举例.这一结果对紧支集的结果给予了推广.

In this paper, the author proves the global existence of classical solution to the cauchy problem with slowly decaying initial data with small initial total variation for general first order quasilinear linearly degenerate hyperbolic systems, and an application is given. This generalizes the corresponding result on initial data with compact support.