Blow-up of Solutions and Local Solvability of an Abstract Cauchy Problem of Second Order with a Noncoercive Source

被引：1

作者：

Artem'eva, M. V. ^{[1
,2
]}

Korpusov, M. O. ^{[1
,2
]}

机构：

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

[2] RUDN Univ, Moscow 117198, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 04期

关键词：

nonlinear Sobolev-type equations; blow-up; local solvability; nonlinear capacity; estimates of blow-up time;

D O I：

10.1134/S0965542523040024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An abstract Cauchy problem for a second-order differential equation with nonlinear operator coefficients is considered. The local solvability of the problem in suitable spaces of abstract continuous and differentiable functions is proved. Sufficient conditions for finite-time blow-up of its solutions are obtained.

引用

页码：542 / 552

页数：11

共 4 条

[1]

Alshin A. B., 2011, De Gruyter Series in Nonlinear Analysis and Applications, V15, DOI [10.1515/9783110255294, DOI 10.1515/9783110255294]

[2]

Gajewski H., 1974, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen

[3]

Korpusov MO, 2020, IZV MATH+, V84, P930, DOI [10.1070/IM8880, 10.4213/im8880]

[4] Blow-up of Solutions of Nonclassical Nonlocal Nonlinear Model Equations [J].

Korpusov, M. O. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019, 59 (04) :583-609

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