Retractions onto the space of continuous divergence-free vector fields

DOI10.5802/AFST.1323zbMath1234.47058OpenAlexW1992061138MaRDI QIDQ661137

Philippe Bouafia

Publication date: 18 February 2012

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2011_6_20_4_767_0/

zbMATH Keywords

vector fields\(m\)-charges

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of operator theory to differential and integral equations (47N20) Elliptic equations and elliptic systems (35J99) Other homology theories in algebraic topology (55N35)

Cites Work

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• Charges in middle dimensions
• On the distributional divergence of vector fields vanishing at infinity
• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
• Lipschitz-free Banach spaces

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