Null controllability of linear heat and wave equations with nonlocal spatial terms

Fernandez-Cara E, Lu Q, Zuazua E (2016)

Publication Type: Journal article

Publication year: 2016

Journal

SIAM Journal on Control and Optimization Society for Industrial and Applied Mathematics

Book Volume: 54

Pages Range: 2009-2019

Journal Issue: 4

DOI: 10.1137/15M1044291

Abstract

In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. Under some analyticity assumptions on the corresponding kernel, we show that the equations are controllable. We employ compactness-uniqueness arguments in a suitable functional setting, an argument that is harder to apply for heat equations because of its very strong time irreversibility. Some possible extensions and open problems concerning other nonlocal systems are presented.

Authors with CRIS profile

Enrique Zuazua Iriondo

Involved external institutions

University of Seville / Universidad de Sevilla ES Spain (ES) Sichuan University (SCU) / 四川大学 CN China (CN) Universidad Autónoma de Madrid (UAM) ES Spain (ES)

How to cite

APA:

Fernandez-Cara, E., Lu, Q., & Zuazua, E. (2016). Null controllability of linear heat and wave equations with nonlocal spatial terms. SIAM Journal on Control and Optimization, 54(4), 2009-2019. https://dx.doi.org/10.1137/15M1044291

MLA:

Fernandez-Cara, Enrique, Qi Lu, and Enrique Zuazua. "Null controllability of linear heat and wave equations with nonlocal spatial terms." SIAM Journal on Control and Optimization 54.4 (2016): 2009-2019.

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