一类拟线性抛物方程的空间Blow-up及衰减估计  

SPATIAL BLOW-UP AND DECAY ESTIMATES FOR A CLASS OF QUSILINEAR PARABOLIC EQUATIONS

作　　者：刘晓薇[1] 林长好[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2006年第3期19-24,共6页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10471050);广东省自然科学基金资助项目(031495)

摘　　要：研究一类拟线性抛物方程的空间性质,证明当方程的非线性项满足适当条件时,当空间变量达到某个有限值时方程的解或者b low-up,即不再存在;或者呈现代数式衰减.该结果对满足类似边界条件及非线性项条件的椭圆方程(组)也成立.The spatial behaviors for a class of qusilinear parabolic equations with nonlinear boundary conditions are investigated. Under appropriate conditions on the nonlinear terms, it is proved that the solutions either cease to exist for a finite value of the spatial variable or else they decay algebrically. The results are valid for elliptic equations satisfying similar boundary conditions and nonlinear term conditions.

关 键 词：拟线性椭圆方程 拟线性抛物方程 空间blow-up 衰减估计 

分 类 号：O175.26[理学—数学]