一类四阶非线性抛物方程弱解的存在性

基金项目:

广西区自然科学基金;广西教育厅科研项目

详细信息

THE EXISTENCE OF WEAK SOLUTIONS FOR A CLASS OF FOURTH ORDER NONLINEAR PARABOLIC EQUATION

摘要: 研究了一类四阶非线性抛物方程的初值问题. 通过对时间的离散化构造并证明了逼近解的存在性，然后利用逼近解的一致估计结合紧致性原理证明了问题弱解的整体存在性.
- 整体存在性
Abstract: The initial-boundary value problem for a class of fourth order nonlinear parabolic equation is investigated. Through the time discretization, the existence of approximate solutions is constructed and proved. By using uniform estimation on these approximate solutions combined with the compact principle, the global existence of weak solutions to the problem is established.
- global existence