Global Well-posedness for the Fourth-order Defocusing Cubic Equation with Initial Data Lying in a Critical Sobolev Space
Miao Chen , Hua Wang , Xiaohua Yao
Frontiers of Mathematics ›› 2024, Vol. 20 ›› Issue (3) : 547 -580.
Global Well-posedness for the Fourth-order Defocusing Cubic Equation with Initial Data Lying in a Critical Sobolev Space
This paper is devoted to studying the Cauchy problem of the fourth-order defocusing, cubic equation iut + Δ2u = − |u|2u in critical Sobolev space. We first prove that the problem is locally well-posed in the critical Sobolev space
Global well-posedness / fourth-order cubic equation / critical Sobolev space
Peking University
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