Recent Developments in Nonlocal Theory (Partial Differential Equations and Measure Theory)

Giampiero Palatucci, Tuomo Kuusi

ISBN 10: 3110571552 / ISBN 13: 9783110571554

Edité par De Gruyter, 2018

A propos de cet article

Unused/unread oversized hardcover, still sealed in publisher's original shrinkwrap. Shrinkwrap shows storage wear, gentle scuffing to tips of board corners. Weight 1110g. -- 464 pages. Contents: Essentials of Nonlocal Operators / Claudia Bucur; Heat Kernels for Non-symmetric Non-local Operators / Zhen-Qing Chen & Xicheng Zhang; Fractional Harmonic Maps / Francesca Da Lio; Obstacle Problems Involving the Fractional Laplacian / Donatella Danielli & Sandro Salsa; Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / Serena Dipierro & Enrico Valdinoci; Eigenvalue Bounds for the Fractional Laplacian: A Review / Rupert L. Frank; Recent Progress on the Fractional Laplacian in Conformal Geometry / María del Mar González; Jump Processes and Nonlocal Operators / Moritz Kassmann; Regularity Issues Involving the Fractional p-Laplacian / Tuomo Kuusi, Giuseppe Mingione & Yannick Sire; Boundary Regularity, Pohozaev Identities and Nonexistence Results / Xavier Ros-Oton; Variational and Topological Methods for Nonlocal Fractional Periodic Equations / Giovanni Molica Bisci; Change of Scales for Crystal Dislocation Dynamics / Stefania Patrizi -- This edited volume aims at giving an overview of recent advances in the theory and applications of Partial Differential Equations and energy functionals related to the fractional Laplacian operator as well as to more general integro-differential operators with singular kernel of fractional differentiability. After being investigated firstly in Potential Theory and Harmonic Analysis, fractional operators defined via singular integral are nowadays riveting great attention in different research fields related to Partial Differential Equations with nonlocal terms, since they naturally arise in many different contexts, as for instance, dislocations in crystals, nonlocal minimal surfaces, the obstacle problem, the fractional Yamabe problem, and many others. Much progress has been made during the last years, and this edited volume presents a valuable update to a wide community interested in these topics. N° de réf. du vendeur 005854

Détails bibliographiques

Titre : Recent Developments in Nonlocal Theory (...

Éditeur : De Gruyter

Date d'édition : 2018

Reliure : Hardcover

Etat : Near Fine

Edition : 1st Edition

A propos de ce titre

Synopsis :

This edited volume aims at giving an overview of recent advances in the theory and applications of partial differential equations and energy functionals related to the fractional Laplacian operator as well as to more general integro-differential operators with singular kernel of fractional differentiability.

À propos de l?auteur:

Giampiero Palatucci, University of Parma, Italy; Tuomo Kuusi, Aalto University, Finland.