2) super-subsolution
全局正爆破解
1.
Some sets of suitable conditions are given by the method of explosive super-subsolutions,which guarantee,respectively,the existence of entire large solutions.
运用上下解的方法和二阶椭圆型方程解的内部估计,给出了若干全局正爆破解存在的充分性条件。
4) entire explosive solution
完全爆破解
1.
In this paper, we studied the entire explosive solutions for a class of semilinear elliptic equations with up-lower solutions method, we obtain a new sufficient condition for the existence of entire explosive solution for such equations with certain condition.
运用上下解方法,研究了一类非线性椭圆型方程的完全爆破解,在某些条件下,得到一个关于这类方程的完全爆破解的存在性的充分条件。
5) decomposition blast
分解爆破
6) blow-up solution
爆破解
1.
The existence theorem of blow-up solutions,the upper bound of "blow-up time",and the upper estimate of "blow-up rate" are given under some suitable assumptions on g,f and initial data.
运用Hopf极值原理讨论了一类具Dirichlet边界条件的半线性抛物方程ut=(g(x)u)+f(x,u,q,t)(q=|u|2)的爆破问题,在对函数f,g和初值作适当的假设之下,给出了爆破解的存在性定理和“爆破时刻”的上界估计及“爆破率”的上估计。
2.
The blow-up solutions for a class of semilinear parabolic equations u\-t=Δu+f(u) with nonhomogeneous Neumann boundary conditions u/n=g(x,t) were studied.
运用辅助函数法和 Hopf极值原理讨论了一类具有非齐次 Neumann边界条件 u/ n=g(x,t)的半线性抛物方程 u,t=Δ u+f (u)的爆破解 ,在对函数 f ,g和初值作适当的假设之下 ,给出了爆破解的存在性定理和“爆破时刻”的上界估计及“爆破率”的上估计 。
3.
The blow-up rate of the blow-up solutions is estimated.
讨论了物性依赖于温度的非线性热传导方程ut=uαuxx1<α<32具非线性边界条件-ux(0,t)=up(0,t),u(l,t)=0的解的性态,并估计了爆破解的爆破速率。
补充资料：全局
1.整个的局面。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条