Local Solvability, Blow-up, and Holder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: I. Green Formulas

被引：3

作者：

Korpusov, M. O. ^{[1
]}

Ovsyannikov, E. A. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Phys, Moscow 119991, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2022年 / 62卷 / 10期

关键词：

nonlinear Sobolev-type equations; fundamental solution; Green formulas; MODEL;

D O I：

10.1134/S096554252209007X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Three nonlinear equations for ion acoustic and drift waves in a plasma are derived. The fundamental solution of the common linear part of the resulting nonlinear equations is constructed, and its smoothness properties are studied. Next, the second Green formula in a bounded domain is constructed, which is then used to derive the third Green formula in a bounded domain. Finally, two variants of the third Green formula in the entire space are constructed in a certain class of functions.

引用

页码：1609 / 1631

页数：23

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