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Real Variable Methods in Harmonic Analysis and Navier–Stokes Equations

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Harmonic Analysis and Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 168))

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Abstract

Real variable methods in harmonic analysis were developed throughout the works of E.M. Stein. They turn out to be a powerful tool for the study of nonlinear PDEs. We illustrate this point by discussing various points of the modern theory of Navier–Stokes equations.

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Notes

  1. 1.

    The book is the one I published in 2002 [70].

  2. 2.

    This was after this result that Brezis asked me to write a book on Besov estimates for Navier–Stokes equations [70].

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  1. LaMME, Univ Evry, CNRS, Université Paris-Saclay, Evry, France

    Pierre Gilles Lemarié-Rieusset

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  1. Institute of Mathematics, University of Zurich, Zurich, Switzerland

    Michael Th. Rassias

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Lemarié-Rieusset, P.G. (2021). Real Variable Methods in Harmonic Analysis and Navier–Stokes Equations. In: Rassias, M.T. (eds) Harmonic Analysis and Applications. Springer Optimization and Its Applications, vol 168. Springer, Cham. https://doi.org/10.1007/978-3-030-61887-2_10

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