中国海洋大学学报（自然科学版）2026，Vol.56Issue(4)：87-99,13.DOI:10.16441/j.cnki.hdxb.20240319
一类非齐次非局部拟线性抛物微分不等式解的Fujita型非存在性
Fujita-Type Nonexistence for an Inhomogeneous Nonlocal Quasilinear Parabolic Differential Inequality
摘要
Abstract
This paper studies nonexistence of nontrivial nonnegative weak solutions for an inhomogeneous nonlocal weighted parabolic differential inequality in the whole space,involving p-Laplacian type quasilinear operator and the weight functions may be singular or degenerate at the origin.In the framework of test functions theory,modifying the nonlinear capacity method to derive precise a priori estimates and establish a new Fujita-type nonexistence theorem.关键词
非齐次抛物微分不等式/非局部源/加权函数/Fujita型非存在性Key words
inhomogeneous parabolic differential inequality/nonlocal source/weight function/Fujita-type nonexistence分类
数理科学引用本文复制引用
李敏涵,方钟波..一类非齐次非局部拟线性抛物微分不等式解的Fujita型非存在性[J].中国海洋大学学报（自然科学版）,2026,56(4):87-99,13.基金项目
山东省自然科学基金项目(ZR2019MA072)资助Supported by the Natural Science Foundation of Shandong Province of China(ZR2019MA072) （ZR2019MA072）
