We study a discrete approximation of functionals depending on nonlocal gradients. The discretized functionals are proved to be coercive in classical Sobolev spaces. The key ingredient in the proof is a formulation in terms of circulant Toeplitz matrices.

Discrete approximation of nonlocal-gradient energies / Braides, Andrea; Causin, Andrea; Solci, Margherita. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8266. - (2023). [10.1515/acv-2023-0028]

Discrete approximation of nonlocal-gradient energies

Andrea Causin;Margherita Solci
2023-01-01

Abstract

We study a discrete approximation of functionals depending on nonlocal gradients. The discretized functionals are proved to be coercive in classical Sobolev spaces. The key ingredient in the proof is a formulation in terms of circulant Toeplitz matrices.
2023
Discrete approximation of nonlocal-gradient energies / Braides, Andrea; Causin, Andrea; Solci, Margherita. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8266. - (2023). [10.1515/acv-2023-0028]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11388/322349
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