Elliptic and parabolic equations involving the hardy-leray potential / Ireneo Peral Alonso, Fernando Soria de Diego

By:

Peral Alonso, Ireneo, 1946- [VerfasserIn]

Contributor(s):

Soria de Diego, Fernando [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: De Gruyter series in nonlinear analysis and applications ; volume 38Publisher: Berlin ; Boston : De Gruyter, [2021]Description: 1 Online-Ressource (XX, 494 p)ISBN:

9783110606270
9783110605600

Subject(s):

Additional physical formats: 9783110603460 | Erscheint auch als: Elliptic and parabolic equations involving the Hardy-Leray potential. Druck-Ausgabe Berlin : De Gruyter, 2021. XX, 494 SeitenRVK: RVK: SK 490Local classification: Lokale Notation: math 6.72LOC classification:

QA377

DOI: DOI: 10.1515/9783110606270Online resources:

Zugang im Netz des KIT

Summary: 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 IndexSummary: 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 presentationPPN: PPN: 1750382350Package identifier: Produktsigel: EBA-CL-MTPY | EBA-DGALL | EBA-EBKALL | EBA-ECL-MTPY | EBA-EEBKALL | EBA-ESTMALL | EBA-STMALL | GBV-deGruyter-alles | ZDB-23-DGG | ZDB-23-DMA

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In English