Abstract
In this chapter we formalize the assumptions on our families of convolution-type functionals. Such assumptions are stated in terms of some growth and integrability conditions. We explain and comment these hypotheses comparing them with the corresponding assumptions for families of local integral functionals commonly used in the literature.
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References
Braides, A.: Γ-Convergence for Beginners. Oxford Lecture Series in Mathematics and Its Applications, vol. 22. Oxford University Press, Oxford (2002)
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Alicandro, R., Ansini, N., Braides, A., Piatnitski, A., Tribuzio, A. (2023). Convolution-Type Energies. In: A Variational Theory of Convolution-Type Functionals. SpringerBriefs on PDEs and Data Science. Springer, Singapore. https://doi.org/10.1007/978-981-99-0685-7_2
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DOI: https://doi.org/10.1007/978-981-99-0685-7_2
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Online ISBN: 978-981-99-0685-7
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