1) super-subsolution method
正爆破解
1.
Some sets of suitable conditions are given by using the explosive super-subsolution method,the inner estimation theory and the perturbed technique,which guarantee,respectively,the existence of explosive positive solutions.
研究了如下的非线性椭圆方程正爆破解存在性:Δu+g(x)uα|u|q=ρ(x)f(u),x∈Ω;u(x)→+∞,x→Ω。
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。
3) forward demolition
正向爆破
4) decomposition blast
分解爆破
5) 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。
6) explosive solutions
爆破解
1.
The existence of explosive solutions is obtained for a class of second order nonlinear ordinary differential equations.
得到了一类二阶非线性常微分方程爆破解的存在性。
2.
In this paper, the author discusses a class of general second order Nonlinear Ordinary Differential Equations about boundary value problems, then the necessary and sufficient condition of the existence of explosive solutions is obtained.
讨论了较广泛的一类二阶非线性常微分方程的边值问题,并得到了其存在爆破解的充要条件。
3.
The existence of explosive solutions is obtained for a class of quasilinear elliptic equations.
得到了一类拟线性椭圆型方程爆破解的存在性。
补充资料：全局
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