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- W4367724072 abstract "In this chapter we prove the Γ-convergence of convolution energies under suitable assumptions on the convolution kernels a ε. In the scalar case, a general Γ-convergence result for functionals of this type has been proven in Ponce (Calc. Var. Partial Differ. Equ. 19:229–255, 2004). We give a new proof of the Γ-convergence which is independent of the arguments in that work. Such a result on the one hand shows a non-trivial example of Γ-converging functionals, on the other hand it allows, by comparison, to deduce that the Γ-limits of a family of functionals F ε satisfy standard p-growth assumptions in a Sobolev-space setting." @default.
- W4367724072 created "2023-05-04" @default.
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- W4367724072 date "2023-01-01" @default.
- W4367724072 modified "2023-10-14" @default.
- W4367724072 title "The Γ-Limit of a Class of Reference Energies" @default.
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- W4367724072 doi "https://doi.org/10.1007/978-981-99-0685-7_3" @default.
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