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.
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页码：1014 / 1021
页数：8
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