Work

Controllability under positivity constraints for non-linear and non-local parabolic PDEs

Year: 2025

Type: article

Abstract: This article studies the control of a non-local and non-linear parabolic PDE. The tools to develop the control study are: regularity in Holder spaces, parabolic regularity, Carleman and Observability inequalities, compactness, stability and the Kakutani Fixed Point method. We obtain three results about controllability. first, local results in H\"older spaces; second, restriction on the control signal with target trajectories; and third, positivity of the minimal controllability time. For more information and the latex file, see https://ejde.math.txstate.edu/Volumes/2025/96/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.2025.96

Author: Miguel R. Nunez-Chavez

Institution: Universidade Federal de Mato Grosso

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4415213658

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