Quantitative Stochastic Homogenization and Large-Scale Regularity / / by Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat |
Autore | Armstrong Scott |
Edizione | [1st ed. 2019.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
Descrizione fisica | 1 online resource (548 pages) |
Disciplina |
515.35
515.353 |
Collana | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
Soggetto topico |
Partial differential equations
Probabilities Mathematical physics Calculus of variations Partial Differential Equations Probability Theory and Stochastic Processes Mathematical Physics Calculus of Variations and Optimal Control; Optimization |
ISBN | 3-030-15545-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Assumptions and examples -- Frequently asked questions -- Notation -- Introduction and qualitative theory -- Convergence of the subadditive quantities -- Regularity on large scales -- Quantitative description of first-order correctors -- Scaling limits of first-order correctors -- Quantitative two-scale expansions -- Calderon-Zygmund gradient L^p estimates -- Estimates for parabolic problems -- Decay of the parabolic semigroup -- Linear equations with nonsymmetric coefficients -- Nonlinear equations -- Appendices: A.The O_s notation -- B.Function spaces and elliptic equations on Lipschitz domains -- C.The Meyers L^{2+\delta} estimate -- D. Sobolev norms and heat flow -- Parabolic Green functions -- Bibliography -- Index. |
Record Nr. | UNINA-9910338250103321 |
Armstrong Scott
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
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Lo trovi qui: Univ. Federico II | ||
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Recent Developments in Nonlocal Theory / / Giampiero Palatucci, Tuomo Kuusi |
Pubbl/distr/stampa | Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2018] |
Descrizione fisica | 1 online resource |
Soggetto topico | MATHEMATICS / Mathematical Analysis |
Soggetto genere / forma | Electronic books. |
ISBN | 3-11-057156-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 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 |
Record Nr. | UNISA-996309083903316 |
Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2018] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Recent Developments in Nonlocal Theory / / Giampiero Palatucci, Tuomo Kuusi |
Pubbl/distr/stampa | Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2018] |
Descrizione fisica | 1 online resource |
Soggetto topico | MATHEMATICS / Mathematical Analysis |
Soggetto genere / forma | Electronic books. |
ISBN | 3-11-057156-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 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 |
Record Nr. | UNINA-9910272346403321 |
Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2018] | ||
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Lo trovi qui: Univ. Federico II | ||
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