Work

Boundary control problem for a heat equation in a multidimensional parallelepiped

Year: 2025

Type: article

Abstract: In this paper, we consider a boundary control problem associated with the heat equation in a bounded $ n $-dimensional domain. The value of the solution is prescribed on a part of the boundary, and the objective is to determine a control function that ensures a prescribed average temperature is attained within the domain. The initial-boundary problem is solved by the Fourier method, and the control problem under consideration is that of the Volterra integral equation. The existence of admissible control is proved by the Laplace transform method.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025112

Authors: Farrukh Dekhkonov, Wenke Li, Weipeng Wu

Institutions: Namangan State University, Harbin Engineering University, Harbin Institute of Information Technology

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, China Scholarship Council

Awards: G2138661952, G3410916170