Local Solvability and Global Unsolvability of a Model of Ion-Sound Waves in a Plasma

被引：0
|
作者：
A. A. Panin
G. I. Shlyapugin
机构：
[1] Lomonosov Moscow State University,
来源：
Mathematical Notes | 2020年 / 107卷
关键词：
nonlinear initial-boundary value problem; Sobolev-type equations; exponential nonlinearity;
D O I：
暂无
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学科分类号：
摘要：
An initial-boundary value problem for the multidimensional equation of ion-sound waves in a plasma is considered. Its time-local solvability in the classical sense in Hölder spaces is proved. This is a development of results in our previous papers, where the local solvability of one-dimensional analogs of the equation under consideration was established and, in the general case (regardless of the dimension of the space), sufficient conditions for the blow-up of the solution were obtained.
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页码：464 / 477
页数：13
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