Hilbert complexes with mixed boundary conditions part 1: de Rham complex

de Rham theory in global analysis (58A12) Operators on Hilbert spaces (general) (47B02) Maxwell equations (35Q61) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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Cites Work

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Universal extension for Sobolev spaces of differential forms and applications
An elementary proof for a compact imbedding result in generalized electromagnetic theory
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Maxwell's boundary value problem on Riemannian manifolds with nonsmooth boundaries
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The divDiv-complex and applications to biharmonic equations
Solution Theory, Variational Formulations, and Functional a Posteriori Error Estimates for General First Order Systems with Applications to Electro-Magneto-Statics and More

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