Open AccessOn some non-local approximation of nonisotropic Griffith-type functionals
Author(s) -
Fernando Farroni,
Giovanni Scilla,
Francesco Solombrino
Publication year - 2021
Publication title -
mathematics in engineering
Language(s) - English
Resource type - Journals
ISSN - 2640-3501
DOI - 10.3934/mine.2022031
Subject(s) - mathematics , type (biology) , sobolev space , sequence (biology) , convergence (economics) , mathematical analysis , pure mathematics , convolution (computer science) , chemistry , computer science , biochemistry , machine learning , artificial neural network , economics , economic growth , ecology , biology
The approximation in the sense of $ \Gamma $-convergence of nonisotropic Griffith-type functionals, with $ p- $growth ($ p > 1 $) in the symmetrized gradient, by means of a suitable sequence of non-local convolution type functionals defined on Sobolev spaces, is analysed.
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