Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation

2019/10/31 by Harbir Antil, Umberto Biccari, Antil, Harbir +7
Engineering · Mathematics · #35K05 #35R11 #35S11 #93B05 #93B07 #93C20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1910.14529

openalex publication_date 2019/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the controllability to trajectories, under positivity constraints on the control or the state, of a one-dimensional heat equation involving the fractional Laplace operator (-∂_x²)^s (with 0

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