标题： 时空规范下爱因斯坦-玻尔兹曼-标量场方程在两条特征超曲面上的柯西问题 显示英文标题

标题： Cauchy problem on two characteristic hypersurfaces for the Einstein-Vlasov-Scalar field equations in temporal gauge

摘要： 在本文中，我们考虑在时间规范下爱因斯坦-玻尔兹曼-标量场方程的初值问题，其中初始数据在两个特征光滑相交的超曲面上给出。 通过适当选择一些自由数据，全局地解决了初始数据约束的问题，然后局部地解决了相对于推导出的初始数据的演化问题。 显示英文摘要

摘要： In this paper, we consider the initial value problem for the Einstein-Vlasov-Scalar field equations in temporal gauge, where the initial data are prescribed on two characteristic smooth intersecting hypersurfaces. From a suitable choice of some free data, the initial data constraints's problem is solved globally, then the evolution problem relative to the deduced initial data is solved locally in time.