数学杂志2017，Vol.37Issue(6)：1275-1286,12.
具有非局部边界的退化抛物方程组的爆破解
BLOW-UP SOLUTIONS TO DEGENERATE PARABOLIC EQUATIONS WITH NONLOCAL BOUNDARY
摘要
Abstract
In this paper,we consider the weak solutions of the degenerate parabolic equations coupled via nonlocal sources,subject to nonlocal boundary conditions. By using the comparison principle,the critical blow-up exponent is obtained under the help of the weighted functions and the initial data. Moreover,asymptotic behavior near blow-up time is obtained for simultaneous blow-up solutions,which extends the known results in the previous paper.关键词
退化抛物方程组/临界指标/渐近行为/非局部边界Key words
degenerate parabolic equations/critical exponents/asymptotic behavior/nonlocal boundary分类
数理科学引用本文复制引用
杨婕,刘丙辰,张长城..具有非局部边界的退化抛物方程组的爆破解[J].数学杂志,2017,37(6):1275-1286,12.基金项目
国家自然科学基金(11201483) （11201483）
山东省自然科学基金(ZR2016AM12) （ZR2016AM12）
中央高校基本科研业务费专项资金(15CX08011A). （15CX08011A）
