纺织高校基础科学学报2017，Vol.30Issue(2)：207-213,7.DOI:10.13338/j.issn.1006-8341.2017.02.008
齐次群上次椭圆超抛物障碍问题的Caccioppoli不等式和高阶可积性
Caccioppoli inequality and higher integrability for the subelliptic ultraparabolic obstacle problems on the homogeneous group
摘要
Abstract
By constructing the suitable test function,establishing the representation formula for the weak solution and using estimates of singular integrals, a Caccioppoli inequality and higher integrability for weak solutions to the obstacle problems related to a class of second order nonlinear subelliptic ultraparabolic equations on the homogeneous group are obtained.These results are generalized the corresponding conclusions of ultraparabolic obstacle problems in the Euclidean case.关键词
次椭圆超抛物方程/障碍问题/Caccioppoli不等式/高阶可积性Key words
subelliptic ultraparabolic equation/obstacle problems/Caccioppoli inequality/higher integrability分类
数理科学引用本文复制引用
杜广伟..齐次群上次椭圆超抛物障碍问题的Caccioppoli不等式和高阶可积性[J].纺织高校基础科学学报,2017,30(2):207-213,7.基金项目
国家自然科学基金资助项目(11271299) （11271299）
