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A Variational Theory of Convolution-Type Functionals

This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representa...

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Detalles Bibliográficos
Autores principales: Alicandro, Roberto (Autor), Ansini, Nadia (Autor), Braides, Andrea (Autor), Piatnitski, Andrey (Autor), Tribuzio, Antonio (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Lenguaje:inglés
Publicado: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
Edición:1st ed. 2023.
Colección:SpringerBriefs on PDEs and Data Science,
Materias:
Mathematical optimization.
Calculus of variations.
Integral equations.
Functional analysis.
Calculus of Variations and Optimization.
Integral Equations.
Functional Analysis.
Acceso en línea:https://doi.org/10.1007/978-981-99-0685-7
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Tabla de Contenidos:
  • Chapter 1. Introduction
  • Chapter 2. Convolution-Type Energies
  • Chapter 3. The Γ-limit of a Class of Reference Energies
  • Chapter 4. Asymptotic Embedding and Compactness Results
  • Chapter 5. A Compactness and Integral-Representation Result
  • Chapter 6. Periodic Homogenization
  • Chapter 7. A Generalization and Applications to Point Clouds
  • Chapter 8. Stochastic Homogenization
  • Chapter 9. Application to Convex Gradient Flows.

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