报告题目：Hessian estimates for the isotropic elastic thin plate problem

报告人：陈昱 副教授东北大学理娱乐城

报告时间：2026年06月27日09:30-10:00

报告地点：腾讯会议ID 609-2797-9994

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校内联系人：徐佳宁 [email protected]

报告摘要：

    This talk is concerned with the problem of two rigid inclusions closely spaced in an isotropic elastic thin plate. Under the linear elasticity for infinitesimal deformations and Kirchhoff-Love theory, this problem is formulated by a fourth-order elliptic Dirichlet boundary value problem. We establish upper bounds for the gradient and Hessian matrix of the solution when the boundary of the inclusions is $C^{3, \gamma}$. If the regions are smooth, we further obtain the upper bound estimates for the higher-order derivatives. The low bound estimate for the Hessian matrix is derived under some symmetric assumptions.

报告人简介：

    陈昱，东北大学理娱乐城副教授，研究方向为非线性泛函分析与偏微分方程理论。主持国家自然科学基金青年项目、中国博士后科学基金面上项目各一项，获批博士后管理委员会国际交流海外派出项目。在J. Funct. Anal., Ann. Inst. H. Poincaré Anal. Non Linéaire等高水平期刊发表多篇学术论文。