BOUNDARY VALUE PROBLEMS FOR ELLIPTIC EQUATIONS DEGENERATE ON THE BOUNDARY OF A DOMAIN

BOUNDARY VALUE PROBLEMS FOR ELLIPTIC EQUATIONS DEGENERATE ON THE BOUNDARY OF A DOMAIN
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椭圆方程的边值问题在域边界上退化

DOI:
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发表时间:
1969
期刊:
影响因子:
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通讯作者:
V. Grusin
V. Grusin
中科院分区:
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文献类型:
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作者:
M. Višik;V. Grusin

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研究了在有界区域边界上简并的阶椭圆方程。在局部坐标系中,引入点的邻域,其中的算子给出,,。对于算子退化为拟椭圆算子,我们特别研究了椭圆算子转化为抛物算子的情况。参考书目19项。3数据。
We investigate the elliptic equation of order , degenerate on the boundary of a bounded domain . In local coordinates , introduced in a neighborhood of the point and in which is given by , the operator where , , . For the operator degenerates into the quasi-elliptic operator In particular we study the case of transition, for , of an elliptic operator into a parabolic operator.Bibliography 19 items. 3 figures.