具有动态边界条件的α-Laplace型弦方程的爆破解  

Blow-up Solution for a α-Laplace Type String Equation with Dynamic Boundary Conditions

作　　者：武洁琼[1] 孙雅楠 WU Jieqiong;SUN Ya'nan(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2022年第6期1439-1446,共8页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11801339,62273217);山西省自然科学基金(201901D111042);山西省回国留学人员科研资助项目(2020-006)。

摘　　要：研究具有负初始能量的α-Laplace型弦振动方程解的爆破问题。在弦的右端施加非线性阻尼和动态边界条件。通过分析α-Laplace、内部源项和非线性边界阻尼的相互作用,得到了系统的解爆破的一个充分条件。The blow-up problem for a α-Laplace type string equation with negative initial energy is studied. A nonlinear damping and dynamic boundary conditions are imposed on the right point of the string. A sufficient condition under which the solutions of the system blow-up is obtained by analyzing the interaction among α-Laplace, interior source term and nonlinear boundary damping.

关 键 词：α-Laplace型弦方程 动态边界条件 边界阻尼 爆破 

分 类 号：O175[理学—数学]