报告题目：Sharp lower bounds of eigenvalues for the Camassa-Holm equation and general Sturm-Liouville equation

报告人：敖继军

报告时间：2026年3月22日上午9：00-10:00

报告地点：数学楼401

报告摘要：In this talk, we discuss the sharp lower bounds of eigenvalues for the Camassa-Holm equation and general Sturm-Liouville equation with several kinds of boundary conditions. By using the corresponding measure differential equations as the key bridge, we obtain the sharp lower bounds of the smallest positive Neumann-Dirichlet eigenvalues for the Camassa-Holm equation with both of the definite and indefinite potentials. In further, we generalize the results to general Sturm-Liouville equation. Some of the sharp lower bounds of all the positive Neumann-Dirichlet eigenvalues also be given. In particular, we show the sharp lower bound of the first eigenvalue with a parameter-dependent boundary conditions and analyse the monotonicity of eigenvalue with this parameter.

报告人简介：敖继军，内蒙古工业大学教授，博士生导师。内蒙古数学学会常务理事，内蒙古工业大学学报（自然科学版）编委，美国数学评论(MR)评论员，自治区杰青。主要从事微分算子谱理论，气体分子运动论方向的研究。主持国家自然科学基金项目3项、省级项目4项。发表学术论文60余篇，其中以第一作者或通讯作者在JDE，AMC，JMAA，AML等SCI期刊上发表论文40余篇。获内蒙古自治区自然科学奖三等奖1项（排名第三），获内蒙古自治区优秀博士学位论文。指导的3篇硕士学位论文获得自治区优秀硕士学位论文。