Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations
Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations
复制标题
半线性抛物型、双曲型和椭圆方程的一些常见渐近性质
DOI：
--
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
P. Polácik
中科院分区：
文献类型：
--
作者：
P. Polácik
考虑圆柱域Ω ×（0，∞）上的三种半线性二阶偏微分方程，其中Ω是N，N2中的有界域.其中两类是抛物型和双曲型的发展问题，其中Ω ×（0，∞）的无界方向保留在时间t上，第三类是椭圆型方程，变量t是无界的.讨论了在Ω×（0，∞）上定义并有界的解的渐近性态.
We consider three types of semilinear second order PDEs on a cylindrical domain Ω × (0,∞), where Ω is a bounded domain in N , N 2. Among these, two are evolution problems of parabolic and hyperbolic types, in which the unbounded direction of Ω × (0,∞) is reserved for time t, the third type is an elliptic equation with a singled out unbounded variable t. We discuss the asymptotic behavior, as t → ∞, of solutions which are defined and bounded on Ω× (0,∞).