数学杂志2024，Vol.44Issue(3)：259-268,10.
一类双重退化四阶抛物型方程弱解的存在性
EXISTENCE OF WEAK SOLUTIONS FOR A DOUBLY DEGENERATE FOURTH-ORDER PARABOLIC EQUATION
摘要
Abstract
In this paper,the existence of weak solutions for a doubly degenerate fourth-order parabolic equation is studied.By Galerkin process and energy method,the existence of the weak solutions in the non-degenerate case is proved firstly.On this basis,the existence of weak solutions in the degenerate case is obtained by uniform estimates asymptotic limits for the regularization problem.关键词
双重退化/非线性抛物型方程/边界退化/存在性Key words
doubly degeneracy/Non-linear parabolic equation/boundary degeneracy/existence分类
数理科学引用本文复制引用
梁波,李彬,马永峰..一类双重退化四阶抛物型方程弱解的存在性[J].数学杂志,2024,44(3):259-268,10.基金项目
国家自然科学基金(11201045),辽宁省教育厅高校科研项目资助(LJKMZ20220832). （11201045）
