广义准二维玻色-爱因斯坦凝聚方程的初边值问题

摘要

Consider the existence and uniqueness of the solution to the initial boundary value problem for a generalized quasi-two dimensional Bose-Einstein condensates with spatially modulated nonlinearity and obtain the existence and uniqueness of the generalized solution to the problem by a priori integral estimates and Galerkin method.%考虑广义带空间调制非线性的准二维玻色-爱因斯坦凝聚方程.研究其初边值问题解的存在性和唯一性.通过一系列的先验估计,利用Galerkin方法验证了上述问题广义解的存在性,并进而确认了解的唯一性.