5 The Hardy–Leray potential in semilinear heat equations

Kapitel in diesem Buch

1. Frontmatter I
2. Preface VII
3. Contents XV
4. 1 Motivation of the Hardy–Leray potential 1
5. 2 Looking at the Hardy–Leray potential 15
6. 3 Calderón–Zygmund theory and the Hardy–Leray potential 29
7. 4 Effect of the Hardy–Leray potential in the solvability of semilinear elliptic equations 45
8. 5 The Hardy–Leray potential in semilinear heat equations 71
9. 6 Elliptic equations with a nonlinearity on the gradient and the Hardy–Leray potential 103
10. 7 The heat equation with nonlinearity on the gradient and the Hardy–Leray potential 137
11. 8 Fractional Laplacian type operators 189
12. 9 The fractional Hardy inequality 239
13. 10 Calderón–Zygmund summability in the fractional setting 263
14. 11 Fractional semilinear elliptic problems 305
15. 12 The heat equation with fractional diffusion 373
16. 13 The influence of the Hardy potential on the linear and semilinear fractional heat equations 433
17. Bibliography 475
18. Alphabetical Index 489