Source identification problems for abstract semilinear nonlocal differential equations-Reference-Cited by-同舟云学术

Source identification problems for abstract semilinear nonlocal differential equations

Published:2022 Issue:5 Volume:16 Page:1389
ISSN:1930-8337
Container-title:Inverse Problems and Imaging
language:
Short-container-title:IPI

Author:

Anh Nguyen Thi Van¹²,Yen Bui Thi Hai³

Affiliation:

1. Department of Mathematics, Hanoi National University of Education, No. 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

2. Institute of Mathematics, Vietnam Academy of Science and Technology, No. 18 Hoang Quoc Viet, Hanoi, Vietnam

3. Department of Mathematics, Hoa Lu University, Ninh Nhat, Ninh Binh, Vietnam

Abstract

<p style='text-indent:20px;'>In this paper, we investigate a source identification problem for a class of abstract nonlocal differential equations in separable Hilbert spaces. The existence of mild solutions and strong solutions for the problem of identifying parameter are obtained. Furthermore, we study the continuous dependence on the data and the regularity of the mild solutions and strong solutions of nonlocal differential equations. Examples given in anomalous diffusion equations illustrate the existence and regularity results.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Control and Optimization,Discrete Mathematics and Combinatorics,Modeling and Simulation,Analysis

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