带有非强制性低阶项的变指标抛物问题
Noncoercive parabolic problems with variable exponents and a lower order term
李春锦 1许少鹏1
作者信息
- 1. 海南大学数学与统计学院,海南海口 570228
- 折叠
摘要
研究了在穿孔域上带有变指数和带有低阶项的非线性抛物方程的重整化解的存在性结果.通过使用截断法,单调算子理论和正则化方法在变指数Sobolev空间的框架下解决了带有一个不具有强制性的低阶项的非线性抛物方程的重整化解的存在性问题.
Abstract
In perforated domains,the existence result of renormalized solutions for a class of nonlinear parabolic systems with variable exponents and a lower order term was investigated.In the framework of Sobolev space with variable exponent,the truncation method,the monotone operator theory and regularization method were used to solve the existence problem of renormalized solutions of nonlinear parabolic equations without coercivity condi-tion on a lower order terms.
关键词
重整化解/存在性/低阶项/变指数Sobolev空间Key words
renormalized solutions/existence/lower order terms/Sobolev space with variable exponents引用本文复制引用
基金项目
海南省自然科学基金(122MS002)
海南大学科研启动基金(KYQDZR-20094)
出版年
2024
国家科技期刊平台
NSTL
万方数据