SOLVABILITY OF SEMILINEAR EQUATIONS IN HILBERT SPACES

被引：1

作者：

Acosta, Antonio ^{[1
]}

Leiva, Hugo ^{[1
]}

机构：

[1] Sch Math Sci & Informat Technol, San Miguel De Urcuqui 100119, Imbabura, Ecuador

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2018年 / 2018卷

关键词：

Approximate controllability; Hilbert space; Semilinear equation; Semilinear evolution equation; Strongly continuous semigroup;

D O I：

10.23952/jnfa.2018.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of solutions for a broad class of semilinear equations in Hilbert spaces. This is done by applying the Rothe's fixed point theorem and a characterization of dense range linear operators in Hilbert spaces. As an application, we study the approximate controllability of a semilinear control system governed by a semilinear evolution equation, and a particular case of this is a control system given by a semilinear heat equation with interior control.

引用

页数：9

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