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  1. No Access

    Article

    On the \(L^p\) -Theory of Vector-Valued Elliptic Operators

    In this paper, we study vector-valued elliptic operators of the form $${\mathcal {L}}f:=\mathrm {div}(Q\nabla f)-F\cdot \nabla f+\mathrm {div}...

    Kamal Khalil, Abdallah Maichine in Complex Analysis and Operator Theory (2022)

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    Article

    Multi-dimensional Almost Automorphic Type Functions and Applications

    In this paper, we introduce and analyze several new classes of multi-dimensional almost automorphic functions which generalize the classical one of Bochner. We develop the basic theory for the introduced class...

    Alan Chávez, Kamal Khalil, Marko Kostić… in Bulletin of the Brazilian Mathematical Soc… (2022)

  3. No Access

    Article

    Compact Almost Automorphic Solutions to Poisson’s and Heat Equations

    In the present work, we revisit several structural properties of almost automorphic and compact almost automorphic functions from the Euclidean space ...

    Alan Chávez, Kamal Khalil, Alejandro Pereyra… in Bulletin of the Malaysian Mathematical Sci… (2024)