On a Nonclassical Integro-Differential Equation

被引：2

作者：

Aristov, A. I. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 08期

关键词：

Wave Breaking; Energy Identity; Contraction Mapping Principle; Sobolev Type; Arbitrary Positive Number;

D O I：

10.1134/S0012266115080054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study an initial boundary value problem for a nonclassical equation and obtain sufficient conditions for the time-local and time-global solvability. In the case of time-local (but nonglobal) solvability, we find upper and lower bounds for the solution lifespan.

引用

页码：1014 / 1021

页数：8

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