Heat equation on the hypergraph containing vertices with given data (Q6607367)
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scientific article; zbMATH DE number 7915185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Heat equation on the hypergraph containing vertices with given data |
scientific article; zbMATH DE number 7915185 |
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Heat equation on the hypergraph containing vertices with given data (English)
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18 September 2024
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The authors consider a time-dependent differential inclusion which arises in the modeling of heat diffusion on the vertices of a hypergraph. They first prove an existence and uniqueness result, followed by a discussion of the continuous dependence of solutions on data, and a comprehensive analysis of the asymptotic behavior of global solutions.
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hypergraph
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hypergraph Laplacian
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subdifferential
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nonlinear evolution equation
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set-valued differential equation
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constraint problem
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