Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables
Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables
复制标题
两个空间变量情况下变分结构非对角抛物线系统柯西-狄利克雷问题的全局可解性
DOI：
10.1007/bf02433433
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发表时间：
1998
影响因子：
--
通讯作者：
A. Arkhipova
中科院分区：
文献类型：
--
作者：
A. Arkhipova
研究了具有两个空间变量的二阶拟线性抛物方程组的Cauchy-Dirichlet问题。在相应的椭圆算子具有变分结构的条件下，建立了全局时间可解性。解几乎处处光滑，奇点的个数有限。给出了奇异点不存在的充分条件。参考书目：23篇。
The Cauchy-Dirichlet problem for quasilinear parabolic systems of second-order equations is considered in the case of two spatial variables. Under the condition that the corresponding elliptic operator has variational structure, the global in time solvability is established. The solution is smooth almost everywhere and the number of singular points is finite. Sufficient conditions that guarantee the absence of singular points are given. Bibliography: 23 titles.