Local and global solutions of Chern-Simons gauged O(3) sigma equations in one space dimension

초록

We study an initial value problem of the Chern-Simons gauged O(3) sigma model in one space dimension. The global existence of solutions to the model is proved for high regularity initial data. Moreover we study low regularity local well-posedness, observing null forms of the system and applying bilinear estimates for wave-Sobolev space H-s,H- theta As a by-product, a finite energy global solution is constructed. Published by AIP Publishing.

키워드