Regularity techniques for elliptic PDEs and the fractional Laplacian / Pablo Raúl Stinga, Iowa State University.

Author/creator Stinga, Pablo Raúl
Format Electronic
EditionFirst edition.
Publication InfoBoca Raton : C&H/CRC Press, 2024.
Descriptionpages cm
Supplemental ContentFull text available from eBooks on EBSCOhost
Subjects

Abstract "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"-- Provided by publisher.
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2023057453
ISBN9781032679440 (hardback)
ISBN9781032679846 (paperback)
ISBN(ebook)

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