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The de Rham Cohomology through Hilbert Space Methods

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Publication:5853413
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DOI10.17516/1997-1397-2019-12-4-455-465OpenAlexW2972047290MaRDI QIDQ5853413

Ihsane Malass, Nikolai N. Tarkhanov

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu783


zbMATH Keywords

cohomologyde Rham complexNeumann problemHodge theory


Mathematics Subject Classification ID

Partial differential equations (35-XX) Global analysis, analysis on manifolds (58-XX)


Related Items (2)

Nonstationary Maxwell equations ⋮ A Perturbation of the de Rham Complex



Cites Work

  • Euler characteristic of Fredholm quasicomplexes
  • Harmonic integrals on strongly pseudo-convex manifolds. II
  • Boundary problems for pseudo-differential operators
  • Coerciveness in the Neumann problem
  • A Variational Method in the Theory of Harmonic Integrals, II
  • Hodge theory in the Sobolev topology for the de Rham complex
  • Non‐coercive boundary value problems
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