中山大学学报(自然科学版)(中英文)2025,Vol.64Issue(5):146-153,8.DOI:10.13471/j.cnki.acta.snus.ZR20240250
具有非线性卷积项的Sobolev型演化不等式非平凡解的不存在性
Non-existence of the nontrivial solution for a Sobolev type evolution inequality with nonlinear convolution term
摘要
Abstract
An evolution inequality of Sobolev type involving a nonlinear convolution term is considered.By using the nonlinear capacity method and the contradiction argument,the non-existence of the nontrivial local weak solution is proved.关键词
Sobolev型演化不等式/非线性卷积项/非平凡解/不存在性Key words
Sobolev type evolution inequality/nonlinear convolution term/nontrivial solution/non-existence分类
数理科学引用本文复制引用
苏佳慧,刘灯明..具有非线性卷积项的Sobolev型演化不等式非平凡解的不存在性[J].中山大学学报(自然科学版)(中英文),2025,64(5):146-153,8.基金项目
Scientific Research Fund of Hunan Provincial Education Department(23A0361) (23A0361)