5维半线性色散方程弱解的正则性

Regularity of Weak Solutions to 5-D Semilinear Dispersive Wave Equations

考虑初值在单位球面上间断的5维半线性色散方程弱解的奇性结构,利用Strichartz不等式的端点估计和交换子技术,证明了弱解在除去特征锥面上是Hlder正则的.

This paper is concerned with the singularity structures of weak solutions to 5-D semilinear dispersive wave equations with discontinuous initial data. Combining Strichartz＇ s inequality with the commutator argument techniques, the paper shows that the weak solutions are Holder＇s regularity away from the focusing cone surface and the outgoing cone surface.