一类热弹性板的Phragmen-Lindelof二择一结果  

Phragmen-Lindelof Alternative Results for a Class of Thermoelastic Plates

作　　者：石金诚 肖胜中[2] SHI Jincheng;XIAO Shengzhong(School of Date Science,Guangzhou Huashang College,Guangzhou 511300,China;Department of Scientific Research,Guangdong AIB Polytechnic College,Guangzhou 510507,China)

机构地区：[1]广州华商学院数据科学学院,广州511300 [2]广东农工商职业技术学院科研处,广州510507

出　　处：《吉林大学学报（理学版）》2021年第4期846-854,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11371175);广东省普通高校重点科研项目(自然科学)(批准号:2019KZDXM042);广州华商学院校内导师制项目(批准号:2020HSDS16).

摘　　要：考虑一类含有双调和算子的热弹性板的空间性质,通过构造一个能量函数,利用微分不等式技术,推导出该能量函数可由其自身一阶导数控制的微分不等式,并给出解的Phragmen-Lindelof二择一结果.We considered the spatial properties of a class of thermoelastic plates with biharmonic operators.By constructing an energy function and using the technique of differential inequality,we derived a differential inequality in which the energy function could be controlled by its first derivative,and gave the Phragmen-Lindelof alternative result of the solution.

关 键 词：热弹性板 Phragmen-Lindelof二择一 Saint-Venant原则 双调和方程 

分 类 号：O175.29[理学—数学]