摘要
带调和振荡算子非线性热方程的适定性问题是当前的一个热门课题.在低正则Sobolev空间下,利用磨光算子估计、Hahn-Banach延拓定理、Riesz表示定理、压缩映射原理等方法,证明了带调和振荡算子的非线性热方程柯西问题解的全局存在唯一性.
The well-posedness problem of the nonlinear heat equation with Harmonic oscillators is a current hot topic.In the lower regularity Sobolev space,by means of methods such as the mollifier estimate,the Hahn-Banach extension theorem,the Riesz representation theorem,and the contraction mapping principle,the global existence and uniqueness of the solution of Cauchy problem of the nonlinear heat equation with Harmonic oscillators are proved.
作者
王涛
田媛媛
李浩光
WANG Tao;TIAN Yuanyuan;LI Haoguang(College of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China)
出处
《中南民族大学学报(自然科学版)》
2026年第1期106-109,共4页
Journal of South-Central Minzu University(Natural Science Edition)
基金
湖北省自然科学基金资助项目(2025AFB696)。
