摘要
应用分层理论研究带未知函数线性附加项的简化Boussinesq方程的稳定性, 以及使其初值问题适定的充要条件.最后给出初值问题不适定时具有若干形式解的实例.
By the stratification theory, a discussion about the stability of a simplified Boussinesq equation appending linear polynomials of unknown functions, and the necessary and sufficient conditions for a well-posed initial value problem is performed. At last, two examples describing formal solutions of ill-posed problems are presented.
出处
《应用数学与计算数学学报》
2004年第1期16-22,共7页
Communication on Applied Mathematics and Computation
基金
上海市教委发展基金项目(02AK49)
上海市科委重点项目(02DJ14032)
