拟线性波动方程的局部可解性

Local Solvability of Quasilinear Wave Equation

本文研究拟线性波动方程的柯西问题,在新的退化条件下证明解的唯一性和局部存在性。我们的证明基于特征方法、压缩映射原理和加权估计。

We study the Cauchy problem of quasilinear wave equation and prove the uniqueness and local existence of the solution under the new degenerate condition. Our proof is based on the method of characteristic, contraction mapping principle and weighted estimates.