带非线性边界条件的热传导方程的整体解与爆破问题  

The Global Existence and Blow up Problems of Heat Conduction Equations with Nonlinear Boundary Conditions

作　　者：王术[1] 王新明[2] 

机构地区：[1]南京大学数学系,南京210093 [2]东南大学数学力学系,南京210018

出　　处：《应用数学》1997年第1期74-79,共6页Mathematica Applicata

摘　　要：本文考虑下面的带有非线性边界条件的热传导方程的整体解的存在性及爆破问题，给出平衡解的分岐结果及整体解存在的充要条件．This paper deals with the global existence and blow up Problems of the following heat conduction equations. with nonlinear boudary copnditions. where α > 0,p > 0,q ≥ 0,δ > 0 may be small enougy. The bifurcation results of positive equilibrium solutions of (1) are given, and by using positive equilibrium solutionsfor,constructing upper of lower solutions, the sufficient and necessary conditions to enact the solution of (1) existing globally are given.

关 键 词：非线性边界条件 整体解 BLOW-UP 热传导方程 

分 类 号：O175.26[理学—数学] O551.3[理学—基础数学]