On existence of a harmonic variational flow subjected to two-sided conditions
On existence of a harmonic variational flow subjected to two-sided conditions
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关于两侧条件下简谐变分流的存在性
DOI：
10.1007/bf02673604
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发表时间：
2000
影响因子：
--
通讯作者：
N. Kikuchi
中科院分区：
文献类型：
--
作者：
J. Haga;N. Kikuchi
我们从一个合适的Sobolev空间和双边条件的初始和边界数据构造弱解的变流型抛物方程组相关的二次泛函。我们提出了一种基于Rothe方法的方法。它适用于求解多种类型方程的柯西问题和初边值问题。参考书目：12种。
We construct weak solutions to parabolic systems of the variational flow type related to a quadratic functional with the initial and boundary data from a suitable Sobolev space and subjected to two-sided conditions. We present an approach based on Rothe’s method. It is applicable to solving the Cauchy problem and initial boundary-value problem for many types of equations. Bibliography: 12 titles.