Recent Developments in Nonlocal Theory
eBook - PDF

Recent Developments in Nonlocal Theory

  1. 450 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Recent Developments in Nonlocal Theory

About this book

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.

List of contributors
Claudia Bucur, Zhen-Qing Chen, Francesca Da Lio, Donatella Danielli, Serena Dipierro, Rupert L. Frank, Maria del Mar Gonzalez, Moritz Kassmann, Tuomo Kuusi, Giuseppe Mingione, Giovanni Molica Bisci, Stefania Patrizi, Xavier Ros-Oton, Sandro Salsa, Yannick Sire, Enrico Valdinoci, Xicheng Zhang.

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Yes, you can access Recent Developments in Nonlocal Theory by Giampiero Palatucci, Tuomo Kuusi, Giampiero Palatucci,Tuomo Kuusi in PDF and/or ePUB format, as well as other popular books in Matematica & Matematica applicata. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter Poland
Year
2018
Print ISBN
9783110571554
eBook ISBN
9783110571561
Edition
1
Topic
Matematica
Subtopic
Matematica applicata

Table of contents

  1. Contents
  2. Preface
  3. Essentials of Nonlocal Operators
  4. Heat Kernels for Non-symmetric Non-local Operators
  5. Fractional Harmonic Maps
  6. Obstacle Problems Involving the Fractional Laplacian
  7. Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness
  8. Eigenvalue Bounds for the Fractional Laplacian: A Review
  9. Recent Progress on the Fractional Laplacian in Conformal Geometry
  10. Jump Processes and Nonlocal Operators
  11. Regularity Issues Involving the Fractional p-Laplacian
  12. Boundary Regularity, Pohozaev Identities and Nonexistence Results
  13. Variational and Topological Methods for Nonlocal Fractional Periodic Equations
  14. Change of Scales for Crystal Dislocation Dynamics