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    3. Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

    Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

    Posted By: yoyoloit
    Date: 24 Apr 2024 20:12:09
    Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

    Regularity Techniques for Elliptic PDEs and the Fractional Laplacian
    by Pablo Raúl Stinga
    English | 2024 | ISBN: 1032679441 | 334 pages | True PDF | 9.41 MB




    Regularity Techniques for Elliptic PDEs and the Fractional Laplacian presents important analytic and geometric techniques to prove regularity estimates for solutions to second order elliptic equations, both in divergence and nondivergence form, and to nonlocal equations driven by the fractional Laplacian. The emphasis is placed on ideas and the development of intuition, while at the same time being completely rigorous. The reader should keep in mind that this text is about how analysis can be applied to regularity estimates. Many methods are nonlinear in nature, but the focus is on linear equations without lower order terms, thus avoiding bulky computations. The philosophy underpinning the book is that ideas must be flushed out in the cleanest and simplest ways, showing all the details and always maintaining rigor.

    Features

    Self-contained treatment of the topic
    Bridges the gap between upper undergraduate textbooks and advanced monographs to offer a useful, accessible reference for students and researchers.
    Replete with useful references.



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