抛物型边界热源方程的爆破解及其上下界  

Blow-up Solution and Its Upper and Lower Bound of a Parabolic Equation with Boundary Heat Source

作　　者：牟金保[1] 熊辉 MOU Jin-bao;XIONG Hui(School of Education,Xizang Minzu University,Xianyang 712082,China;General Education Ministry,City University of Macao,Macao 999078,China)

机构地区：[1]西藏民族大学教育学院,陕西咸阳712082 [2]澳门城市大学通识教育部,澳门999078

出　　处：《数学的实践与认识》2021年第7期187-194,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11761065)。

摘　　要：讨论了一类典型的半线性抛物型方程,其在物理上对应具有边界热源的热传导问题,证明了非平凡解发生爆破的充分条件,并讨论了爆破速率之上界与下界.A typical nonlinear parabolic equation,which corresponds to heat conduction problem with boundary heat source in physics,has been studied in this paper.Some sufficient conditions for blow-up has been proved,and the upper and lower estimates for the blow-up rate has been discussed as well.

关 键 词：半线性抛物型方程 爆破 边界热源 上下界 

分 类 号：O175.26[理学—数学]