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.)

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 o...

Table of Contents

• 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