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On Elliptic Equations with General Non-Local Boundary Conditions in UMD Spaces

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Abstract

In this work, we give new results concerning existence, uniqueness and maximal regularity of the strict solution of a class of elliptic equations with non-local boundary conditions containing an unbounded linear operator. This study is performed in the framework of UMD Banach spaces.

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Authors and Affiliations

  1. University Setif1, Setif, Algeria

    Aissa Aibeche & Nasreddine Amroune

  2. University of Le Havre, Le Havre, France

    Stephane Maingot

Authors
  1. Aissa Aibeche
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  2. Nasreddine Amroune
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  3. Stephane Maingot
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Correspondence to Aissa Aibeche.

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Aibeche, A., Amroune, N. & Maingot, S. On Elliptic Equations with General Non-Local Boundary Conditions in UMD Spaces. Mediterr. J. Math. 13, 1051–1063 (2016). https://doi.org/10.1007/s00009-015-0537-z

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  • DOI: https://doi.org/10.1007/s00009-015-0537-z

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