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.
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页码：3 / 11
页数：8
相关论文
共 6 条
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  • [3] Petunin Yu I(1971)A nonlinear Cauchy problem in a scale of Banach spaces Dokl. Akad. Nauk SSSR 200 789-792
  • [4] Ovsyannikov L V(1969)A priori estimates of solutions of elliptic equations in the class of analytic functions and their applications to the Cauchy-Poisson problem Dokl. Akad. Nauk SSSR 189 45-48
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  • [6] Nishida T(undefined)undefined undefined undefined undefined-undefined
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