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

中图分类号：

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.

引用

页码：464 / 477

页数：13

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