Weighted Stepanov-Like Pseudo Almost Automorphic Solutions for Evolution Equations and Applications

被引：2

作者：

Nguyen Thieu Huy ^{[1
]}

Vu Thi Ngoc Ha ^{[1
]}

Le The Sac ^{[2
]}

Pham Truong Xuan ^{[2
]}

机构：

[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hanoi, Vietnam

[2] Thuyloi Univ, 175 Tay Son, Hanoi, Vietnam

来源：

ACTA MATHEMATICA VIETNAMICA | 2021年 / 46卷 / 01期

关键词：

Linear and semi-linear evolution equations; Stepanov-like and weighted Stepanov-like almost automorphic solutions; NAVIER-STOKES EQUATIONS; TIME-PERIODIC SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE; EXTERIOR; FLOW; UNIQUENESS; STABILITY;

D O I：

10.1007/s40306-020-00385-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the existence and stability of (weighted) Stepanov-like pseudo almost automorphic solutions are proved for a large class of linear and semilinear evolution equations in interpolation spaces. Our method is based on the one hand on a combination of differential inequalities and interpolations functors for the case of linearized equation, and on the other hand on the fixed point argument for the semi-linear equations to handle the case of (weighted) Stepanov-like pseudo almost automorphic functions. Finally, we apply the abstract results to various problems of incompressible viscous fluid flows.

引用

页码：103 / 122

页数：20

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