排序方式: 共有12条查询结果,搜索用时 0 毫秒
1.
For a class of nonlinear filtration equation with nonlinear second-third boundary value condition, it is shown that a priori boundary of the solution can be estimated and controlled by initial data and integral on the boundary of the region. The priori estimate of the solutions was established by iterative method. By using this estimate the solutions may blow-up on the boundary of the region and thus it may have asymptotic non-stability. 相似文献
2.
本文主要讨论高维空间非线性波动方程的Cauchy问题整体解的非存在性,我们证明对Uu-△u=f(u),f(u)=c|u|p-1u,当1<p≥时,若初始能量非正,则无论初值数据的ck-范数(连续空间范数)多么小,解按Ck-范数或按Hs(Rn)(S≥1)都在有限时间内Blowup,并且有相同的生命跨度. 相似文献
3.
§ 1.Introduction Let Xand Ube Banch spaces,S(t) a C0 semi-group in X,A the infinitesimal gen-erator of S(t) ,and B∈L(U,X) .Consider the systemΣP:x(t) =Ax(t) + Bu(t) , t≥ 0 ,(1 .1 )where u∈ Lploc([0 ,∞ ) ,U) ,1≤p<∞ . The problem of controllability of linear systems in Banch spaces has been studied bymany authors.In [1 ] ,the weak and strong reachability and controllability of infinite di-mensional linear systems were investigated.In[2 ,3 ,4 ] ,the controllability of infi… 相似文献
4.
5.
6.
对一类具有非线性第二、第三边值条件的非线性渗流方程,证明了解的先验的界可以用初值和解在区域边界上的积分来估计和控制.这一先验估计是通过迭代技巧来建立的.根据这个估计,解可能在边界上爆破(Blow-up)从而解有渐近不稳定性. 相似文献
7.
本文研究Banach空间线性系统 x(t)= Ax (t)+ Bu (t)的可控性,其中 A ,B 为有界算子,得到其可控的充分必要条件.这是文献结果的推广 . 相似文献
8.
9.
平面域上反应扩散方程解的一些性质 总被引:1,自引:0,他引:1
本文考虑平面域上反应扩散方程(|u(x,t)|^m-1·u)t-△u+cu=f(x,t,u)的第三非线性初-边值问题。建立了解的积分型极值原理,由此说明非全局解的Blowup将在区域边界上发生。 相似文献
10.