A geometric approach for sharp Local well-posedness of quasilinear wave equations

This paper considers the problem of optimal well-posedness for general quasi-linear wave equations in R1+3 of the type (1.1). In general, equations of this type are ill-posed with Hs data for s ≤ 2. The optimal result of the well-posedness with data in Hs, s > 2 was proved by Smith–Tataru by...