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Regularity estimates for nonlocal equations with an asymptotic property

Author

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  • Disson Prazeres

    (Federal University of Sergipe (UFS))

  • Aelson Sobral

    (Federal University of Paraíba (UFPB))

Abstract

In this paper we obtain $${\mathcal {C}}^{1,(\sigma -1)^-}$$ C 1 , ( σ - 1 ) - regularity estimates for a class of nonlocal $${\mathcal {L}}_0(\sigma )-$$ L 0 ( σ ) - uniformly elliptic equations with an asymptotic property. We use the compactness technique to recover such regularity from the nonlocal version of the recession operator.

Suggested Citation

  • Disson Prazeres & Aelson Sobral, 2021. "Regularity estimates for nonlocal equations with an asymptotic property," Partial Differential Equations and Applications, Springer, vol. 2(3), pages 1-13, June.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:3:d:10.1007_s42985-021-00090-y
    DOI: 10.1007/s42985-021-00090-y
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    References listed on IDEAS

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    1. Пигнастый, Олег & Koжевников, Георгий, 2019. "Распределенная Динамическая Pde-Модель Программного Управления Загрузкой Технологического Оборудования Производственной Линии [Distributed dynamic PDE-model of a program control by utilization of t," MPRA Paper 93278, University Library of Munich, Germany, revised 02 Feb 2019.
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    Keywords

    Nonlocal recession operator; Asymptotic;

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