Linear and nonlinear degenerate differential operators and applications

被引：1
|
作者：
Shakhmurov, Veli B. [1 ,2 ]
机构：
[1] Okan Univ, Dept Mech Engn, TR-34959 Istanbul, Turkey
[2] Azerbaijan Natl Acad Sci, Inst Math & Mech, F Agaev 9, AZ-1141 Baku, Azerbaijan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 191卷
关键词：
Nonlinear abstract equations; Differential-operator equations; Maximal regularity properties of differential operators; Semigroups of operators; Banach-valued function spaces; VALUED FUNCTION-SPACES; L-P; EQUATIONS; REGULARITY;
D O I：
10.1016/j.na.2019.111633
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundary value and mixed value problems for linear and nonlinear singular degenerate abstract elliptic and parabolic equations are studied. The linear problems involve some parameters. The uniform L-p- separability properties of linear problems and the optimal regularity results for nonlinear problems are obtained. The equations include linear operators defined in Banach spaces, in which by choosing the spaces and operators we can obtain numerous classes of problems for singular degenerate differential equations which occur in a wide variety of physical systems. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：23
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