A Sharp Bilinear Estimate for the Bourgain-Type Space with Application to the Benjamin Equation

作者：Chen Wengu; Xiao Jie^*

来源：Communications in Partial Differential Equations, 2010, 35(10): 1739-1762.

DOI：10.1080/03605302.2010.507688

• Benjamin equation
• Bilinear estimate
• Bourgain-type space
• Local well
• ill-posedness
• Sharp
• [k
• Z] Multiplier

This note shows the existence of a sharp bilinear estimate for the Bourgain-type space and gives its application to the optimal local well/ill-posedness of the Cauchy problem for the Benjamin equation.

• 出版日期2010
• 单位北京应用物理与计算数学研究所