CAUCHY PROBLEM FOR THE ZAKHAROV SYSTEM ARISING FROM ION-ACOUSTIC MODES WITH LOW REGULARITY DATA

作者：Guo Boling; Han Lijia^*; Gan Zaihui

来源：Journal of Applied Analysis and Computation, 2012, 2(1): 11-28.

• Zakharov System
• Bourgain space
• Cauchy problem
• Local well-posedness

We prove local well-posedness results for the Zakharov System Arising from Ion-Acoustic Modes in two spacial dimension with large initial data in low regularity Sobolev space (Hover dot(1) boolean OR H-1/2 x L-2 x H-1. Using "derivative sharing", the local well-posedness results in (Hover dot(1) boolean OR H1/2-delta) x H-delta x H-1+delta are also obtained, for any 0 < Omega < 1/2.

• 出版日期2012
• 单位华北电力大学; 华北电力大学（保定）; 四川师范大学