Cauchy problem in a scale of Banach spaces

被引：0

作者：

L. V. Ovsyannikov

机构：

[1] Siberian Branch of the Russian Academy of Sciences,Lavrent’ev Institute of Hydrodynamics

来源：

Proceedings of the Steklov Institute of Mathematics | 2013年 / 281卷

关键词：

Banach Space; Cauchy Problem; Free Boundary; STEKLOV Institute; Conformal Mapping;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The concept of quasidifferential operator in a scale of Banach spaces is formulated. A theorem of existence and uniqueness of a solution to the Cauchy problem for the equation with a nonlinear quasidifferential operator is proved. As an example of application of the theorem, the correctness of the nonlinear nonlocal problem of plane-parallel unsteady potential motion of a liquid with free boundary is proved.

引用

页码：3 / 11

页数：8

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