Abstract We prove existence and uniqueness of solution of a class of semi-linear wave equations with initial data prescribed on the light-cone with vertex the origin of a Minkowski space-time. The nonlinear term is assumed to satisfy a nullity condition which guarantees that the neighborhood of the initial cone on which we obtain our solution does not shrink to zero as one approaches infinity. This result is applied to wave maps on Minkowski space-time with

中文翻译：

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S+附近一类特征半线性波动方程的存在时间一致的解

摘要 我们证明了一类半线性波动方程解的存在唯一性，初始数据规定在顶点为闵可夫斯基时空原点的光锥上。假设非线性项满足零条件，该条件保证我们获得解的初始锥的邻域在接近无穷大时不会收缩为零。该结果应用于 Minkowski 时空的波图