摘要
A-caloric逼近技巧在研究非线性抛物方程组弱解的正则性中起着重要的作用.本文在次二次增长情形下研究Heisenberg群上的一个A-逼近定理,该结果将为研究Heisenberg群中非线性抛物方程组弱解的最优正则性奠定基础.
The technique of A-caloric approximation plays an important role in studying the regularity of weak solutions of nonlinear parabolic systems.This paper is devoted to establishing a theorem of A-caloric approximation under the condition of sub-quadratic growth on the Heisenberg group.It will provide a foundation for further considering regularity of weak solutions of nonlinear parabolic systems on the Heisenberg group.
作者
牛蒙慧
廖冬妮
马东亮
NIU Menghui;LIAO Dongni;MA Dongliang(School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China)
出处
《赣南师范大学学报》
2024年第6期14-18,共5页
Journal of Gannan Normal University
基金
国家自然科学基金项目(12061010)
江西省教育厅科技计划项目(GJJ2201204)
赣南师范大学研究生创新基金项目(YCX23A028)。
