Observability on lattice points for heat equations and applications

2018/12/02 by Ming Wang, Can Zhang, Wang, Ming +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1812.00356

openalex publication_date 2018/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Observability inequalities on lattice points are established for non-negative solutions of the heat equation with potentials in the whole space. As applications, some controllability results of heat equations are derived by the above-mentioned observability inequalities.

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