eBook - ePub

Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

Name: Regularity Techniques for Elliptic PDEs and the Fractional Laplacian
ISBN: 9781040041574

Pablo Raúl Stinga,

334 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Regularity Techniques for Elliptic PDEs and the Fractional Laplacian

Pablo Raúl Stinga,

About this book

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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Yes, you can access Regularity Techniques for Elliptic PDEs and the Fractional Laplacian by Pablo Raúl Stinga in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.