Recent Developments in Nonlocal Theory / / Giampiero Palatucci, Tuomo Kuusi.
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 different...
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Place / Publishing House: | Warsaw ;, Berlin : : De Gruyter Open Poland, , [2018] ©2017 |
Year of Publication: | 2018 |
Language: | English |
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Kuusi, Tuomo auth Recent Developments in Nonlocal Theory / Giampiero Palatucci, Tuomo Kuusi. De Gruyter 2018 Warsaw ; Berlin : De Gruyter Open Poland, [2018] ©2017 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 15. Jun 2019) This eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license: https://creativecommons.org/licenses/by-nc-nd/3.0 https://www.degruyter.com/dg/page/open-access-policy 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 contributorsClaudia 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. In English. Frontmatter -- Contents -- Preface -- Essentials of Nonlocal Operators / Bucur, Claudia -- Heat Kernels for Non-symmetric Non-local Operators / Chen, Zhen-Qing / Zhang, Xicheng -- Fractional Harmonic Maps / Da Lio, Francesca -- Obstacle Problems Involving the Fractional Laplacian / Danielli, Donatella / Salsa, Sandro -- Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / Dipierro, Serena / Valdinoci, Enrico -- Eigenvalue Bounds for the Fractional Laplacian: A Review / Frank, Rupert L. -- Recent Progress on the Fractional Laplacian in Conformal Geometry / González, María del Mar -- Jump Processes and Nonlocal Operators / Kassmann, Moritz -- Regularity Issues Involving the Fractional p-Laplacian / Kuusi, Tuomo / Mingione, Giuseppe / Sire, Yannick -- Boundary Regularity, Pohozaev Identities and Nonexistence Results / Ros-Oton, Xavier -- Variational and Topological Methods for Nonlocal Fractional Periodic Equations / Molica Bisci, Giovanni -- Change of Scales for Crystal Dislocation Dynamics / Patrizi, Stefania MATHEMATICS / Mathematical Analysis. bisacsh 3-11-057155-2 Kuusi, Tuomo, editor. Palatucci, Giampiero, editor. |
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English |
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author |
Kuusi, Tuomo |
spellingShingle |
Kuusi, Tuomo Recent Developments in Nonlocal Theory / Frontmatter -- Contents -- Preface -- Essentials of Nonlocal Operators / Heat Kernels for Non-symmetric Non-local Operators / Fractional Harmonic Maps / Obstacle Problems Involving the Fractional Laplacian / Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / Eigenvalue Bounds for the Fractional Laplacian: A Review / Recent Progress on the Fractional Laplacian in Conformal Geometry / Jump Processes and Nonlocal Operators / Regularity Issues Involving the Fractional p-Laplacian / Boundary Regularity, Pohozaev Identities and Nonexistence Results / Variational and Topological Methods for Nonlocal Fractional Periodic Equations / Change of Scales for Crystal Dislocation Dynamics / |
author_facet |
Kuusi, Tuomo Kuusi, Tuomo, Palatucci, Giampiero, |
author_variant |
t k tk |
author2 |
Kuusi, Tuomo, Palatucci, Giampiero, |
author2_variant |
t k tk g p gp |
author2_role |
TeilnehmendeR TeilnehmendeR |
author_sort |
Kuusi, Tuomo |
author_additional |
Bucur, Claudia -- Chen, Zhen-Qing / Zhang, Xicheng -- Da Lio, Francesca -- Danielli, Donatella / Salsa, Sandro -- Dipierro, Serena / Valdinoci, Enrico -- Frank, Rupert L. -- González, María del Mar -- Kassmann, Moritz -- Kuusi, Tuomo / Mingione, Giuseppe / Sire, Yannick -- Ros-Oton, Xavier -- Molica Bisci, Giovanni -- Patrizi, Stefania |
title |
Recent Developments in Nonlocal Theory / |
title_full |
Recent Developments in Nonlocal Theory / Giampiero Palatucci, Tuomo Kuusi. |
title_fullStr |
Recent Developments in Nonlocal Theory / Giampiero Palatucci, Tuomo Kuusi. |
title_full_unstemmed |
Recent Developments in Nonlocal Theory / Giampiero Palatucci, Tuomo Kuusi. |
title_auth |
Recent Developments in Nonlocal Theory / |
title_alt |
Frontmatter -- Contents -- Preface -- Essentials of Nonlocal Operators / Heat Kernels for Non-symmetric Non-local Operators / Fractional Harmonic Maps / Obstacle Problems Involving the Fractional Laplacian / Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / Eigenvalue Bounds for the Fractional Laplacian: A Review / Recent Progress on the Fractional Laplacian in Conformal Geometry / Jump Processes and Nonlocal Operators / Regularity Issues Involving the Fractional p-Laplacian / Boundary Regularity, Pohozaev Identities and Nonexistence Results / Variational and Topological Methods for Nonlocal Fractional Periodic Equations / Change of Scales for Crystal Dislocation Dynamics / |
title_new |
Recent Developments in Nonlocal Theory / |
title_sort |
recent developments in nonlocal theory / |
publisher |
De Gruyter De Gruyter Open Poland, |
publishDate |
2018 |
physical |
1 online resource |
contents |
Frontmatter -- Contents -- Preface -- Essentials of Nonlocal Operators / Heat Kernels for Non-symmetric Non-local Operators / Fractional Harmonic Maps / Obstacle Problems Involving the Fractional Laplacian / Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / Eigenvalue Bounds for the Fractional Laplacian: A Review / Recent Progress on the Fractional Laplacian in Conformal Geometry / Jump Processes and Nonlocal Operators / Regularity Issues Involving the Fractional p-Laplacian / Boundary Regularity, Pohozaev Identities and Nonexistence Results / Variational and Topological Methods for Nonlocal Fractional Periodic Equations / Change of Scales for Crystal Dislocation Dynamics / |
isbn |
3-11-057156-0 3-11-057155-2 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA |
callnumber-sort |
QA |
illustrated |
Not Illustrated |
oclc_num |
1032685254 1050974484 |
work_keys_str_mv |
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