BOUNDARY-VALUE PROBLEMS FOR NONLINEAR PARABOLIC EQUATIONS WITH DELAY AND DEGENERATION AT THE INITIAL TIME

被引：0

作者：

Bokalo, M. M. ^{[1
]}

Il'nyts'ka, O. V. ^{[1
]}

机构：

[1] Franko Lviv Natl Univ, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2017年 / 68卷 / 09期

关键词：

D O I：

10.1007/s11253-017-1298-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study boundary-value problems with Dirichlet conditions for nonlinear parabolic equations with variable delay (i.e., delay is a function of time) and degeneration at the initial time. The existence and uniqueness of the classical solution of this problem are proved. The a priori estimates of this solution are obtained.

引用

页码：1323 / 1339

页数：17

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