Elliptic and Parabolic Equations Involving the Hardy-Leray Potential / / Ireneo Peral Alonso, Fernando Soria de Diego.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2021
• VerfasserIn: Peral Alonso, Ireneo,; Soria de Diego, Fernando,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2021
• Year of Publication: 2021
• Language: English
• Series: De Gruyter Series in Nonlinear Analysis and Applications , 38
• Physical Description: 1 online resource (XX, 494 p.)
• Other title: Frontmatter --; Preface --; Contents --; 1 Motivation of the Hardy–Leray potential --; 2 Looking at the Hardy–Leray potential --; 3 Calderón–Zygmund theory and the Hardy–Leray potential --; 4 Effect of the Hardy–Leray potential in the solvability of semilinear elliptic equations --; 5 The Hardy–Leray potential in semilinear heat equations --; 6 Elliptic equations with a nonlinearity on the gradient and the Hardy–Leray potential --; 7 The heat equation with nonlinearity on the gradient and the Hardy–Leray potential --; 8 Fractional Laplacian type operators --; 9 The fractional Hardy inequality --; 10 Calderón–Zygmund summability in the fractional setting --; 11 Fractional semilinear elliptic problems --; 12 The heat equation with fractional diffusion --; 13 The influence of the Hardy potential on the linear and semilinear fractional heat equations --; Bibliography --; Alphabetical Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110606270; 9783110750720; 9783110750706; 9783110754001; 9783110753776; 9783110754131; 9783110753905
• ISSN: 0941-813X
• DOI: 10.1515/9783110606270
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Ireneo Peral Alonso, Fernando Soria de Diego.

The scientific literature on the Hardy-Leray inequality, also known as the uncertainty principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme spectral behavior and a peculiar influence on diffusion problems, both stationary and evolutionary. In this book, a big part of the scattered knowledge about these different behaviors is collected in a unified and comprehensive presentation.