On Equations of the Form Δu - partial derivativeu/partial derivativet = f (x, t, u, Du)

被引：0

作者：

Amanov, R. A. ^{[1
]}

Ismailov, A. I. ^{[2
]}

机构：

[1] Natl Aviat Acad Azerbaijan, Baku, Azerbaijan

[2] Baku State Univ, Baku, Azerbaijan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2023年 / 13卷 / 02期

关键词：

a priori estimate; semilinear; maximum principle; EXISTENCE;

D O I：

10.59849/2218-6816.2023.2.137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper describes an interpolation method for obtaining a priori estimates for strong solutions of semilinear parabolic equations with unbounded singularities on the right-hand side, provided that there is a first a priori estimate in the space of summable functions.

引用

页码：137 / 158

页数：22

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