一类广义（2+1）维非自治长短波方程的整体光滑解的存在唯一性

摘要

利用先验估计和Galerkin方法，研究了非线性广义耗散(2+1)维非自治长短波方程在H4per(Ω)× H3per(Ω)上光滑解的整体存在唯一性。%By using the methods of priori estimates and Galerkin,the existence and uniqueness of smooth solu-tion of the nonlinear generalized dissipative ( 2+1 ) dimensional non-autonomous long-short wave equations were studied in H4per(Ω) ×H3per(Ω) .