Heat source determining inverse problem for nonlocal in time equation-Reference-Cited by-同舟云学术

Heat source determining inverse problem for nonlocal in time equation

Published:2024-08-15 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Serikbaev Daurenbek¹^ORCID,Ruzhansky Michael²³,Tokmagambetov Niyaz¹⁴

Affiliation:

1. Institute of Mathematics and Mathematical Modeling Almaty Kazakhstan

2. Department of Mathematics: Analysis, Logic and Discrete Mathematics Ghent University Ghent Belgium

3. School of Mathematical Sciences Queen Mary University of London London UK

4. Centre de Recerca Matemática, Edifici C, Campus Bellaterra Barcelona Spain

Abstract

In this paper, we consider the inverse problem of determining the time‐dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well‐posedness of this inverse problem by reducing the problem to an operator equation for the source function.

Funder

Engineering and Physical Sciences Research Council

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10409

Reference26 articles.

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4. Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions

5. Inverse Problem of Determination of the Right-Hand Side of an Equation with Fractional Derivatives In Weight Distributions