The index of some mixed order Dirac type operators and generalised Dirichlet-Neumann tensor fields (Q2137868)
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scientific article; zbMATH DE number 7525055
| Language | Label | Description | Also known as |
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| English | The index of some mixed order Dirac type operators and generalised Dirichlet-Neumann tensor fields |
scientific article; zbMATH DE number 7525055 |
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The index of some mixed order Dirac type operators and generalised Dirichlet-Neumann tensor fields (English)
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11 May 2022
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The paper provides explicit computations for the Fredholm index of differential Fredholm operators generated by Dirichlet-Neumann vector and tensor fields related to three-dimensional domains. The computations are done in terms of topological properties using certain cohomology groups. A variety of examples is discussed.
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Dirac operator
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Picard's extended Maxwell system
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Fredholm index
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cohomology
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Hilbert complex
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elasticity complex
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biharmonic complex
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harmonic Dirichlet and Neumann tensors
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