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Γ-limits of singular perturbation problems involving energies with non-local terms

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Abstract We introduce a new method to reformulate certain classes of problems involving non-local terms as local problems. This allows us to apply the techniques developed in [24] , [25]… Click to show full abstract

Abstract We introduce a new method to reformulate certain classes of problems involving non-local terms as local problems. This allows us to apply the techniques developed in [24] , [25] to prove upper and lower bounds for problems arising in Micromagnetics and in the variational study of the Method of Vanishing Viscosity for systems of conservation laws.

Keywords: limits singular; non local; perturbation problems; singular perturbation; problems involving; local terms

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018

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