Hilbert complexes with mixed boundary conditions. III: Biharmonic complexes

DOI10.1002/MMA.9437zbMATH Open1547.58007MaRDI QIDQ6551505

Michael Schomburg, D. Pauly

Publication date: 7 June 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

compact embeddingsmixed boundary conditionsHilbert complexesregular decompositionsbiharmonic complexregular potentials

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Differential complexes (58J10) Operators on Hilbert spaces (general) (47B02) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

• The index of some mixed order Dirac type operators and generalised Dirichlet-Neumann tensor fields
• The Maxwell compactness property in bounded weak Lipschitz domains with mixed boundary conditions
• 3. Weck’s selection theorem: The Maxwell compactness property for bounded weak Lipschitz domains with mixed boundary conditions in arbitrary dimensions
• The divDiv-complex and applications to biharmonic equations
• Hilbert complexes with mixed boundary conditions part 1: de Rham complex
• Hilbert complexes with mixed boundary conditions—Part 2: Elasticity complex

Related Items (2)

Families of annihilating skew-selfadjoint operators and their connection to Hilbert complexes ⋮ On the exponential stability of uniformly damped wave equations and their structure-preserving discretization

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