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2012, ISBN: 9783034891936
eBooks, eBook Download (PDF), The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including rec… Plus…
ISBN: 9783034891936
The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning th… Plus…
ISBN: 9783034891936
Theorems on Regularity and Singularity of Energy Minimizing Maps ab 58.99 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Theorems on R… Plus…
ISBN: 9783034891936
Theorems on Regularity and Singularity of Energy Minimizing Maps: ab 63.99 € eBooks > Fachthemen & Wissenschaft > Mathematik Birkhäuser Basel eBook als pdf, Birkhäuser Basel
ISBN: 9783034891936
Theorems on Regularity and Singularity of Energy Minimizing Maps: ab 58.99 € Medien > Bücher > E-books
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Informations détaillées sur le livre - Theorems on Regularity and Singularity of Energy Minimizing Maps
EAN (ISBN-13): 9783034891936
Date de parution: 2012
Editeur: Birkhauser Basel
Livre dans la base de données depuis 2017-01-06T17:11:41+01:00 (Zurich)
Page de détail modifiée en dernier sur 2023-09-14T13:12:51+02:00 (Zurich)
ISBN/EAN: 9783034891936
ISBN - Autres types d'écriture:
978-3-0348-9193-6
Autres types d'écriture et termes associés:
Auteur du livre: simon leon, leo simon
Données de l'éditeur
Auteur: Leon Simon
Titre: Lectures in Mathematics. ETH Zürich; Theorems on Regularity and Singularity of Energy Minimizing Maps
Editeur: Birkhäuser; Springer Basel
152 Pages
Date de parution: 2012-12-06
Basel; CH
Langue: Anglais
69,54 € (DE)
71,50 € (AT)
77,00 CHF (CH)
Available
VIII, 152 p. 6 illus.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Calculus of Variations; Riemannian manifold; differential equation; geometric calculus; partial differential equation; C; Global Analysis and Analysis on Manifolds; Differential Geometry; Mathematics and Statistics; Differentielle und Riemannsche Geometrie; BC
1 Analytic Preliminaries.- 1.1 Hölder Continuity.- 1.2 Smoothing.- 1.3 Functions with L2 Gradient.- 1.4 Harmonic Functions.- 1.5 Weakly Harmonic Functions.- 1.6 Harmonic Approximation Lemma.- 1.7 Elliptic regularity.- 1.8 A Technical Regularity Lemma.- 2 Regularity Theory for Harmonic Maps.- 2.1 Definition of Energy Minimizing Maps.- 2.2 The Variational Equations.- 2.3 The ?-Regularity Theorem.- 2.4 The Monotonicity Formula.- 2.5 The Density Function.- 2.6 A Lemma of Luckhaus.- 2.7 Corollaries of Luckhaus’ Lemma.- 2.8 Proof of the Reverse Poincaré Inequality.- 2.9 The Compactness Theorem.- 2.10 Corollaries of the ?-Regularity Theorem.- 2.11 Remark on Upper Semicontinuity of the Density ?u(y).- 2.12 Appendix to Chapter 2.- 3 Approximation Properties of the Singular Set.- 3.1 Definition of Tangent Map.- 3.2 Properties of Tangent Maps.- 3.3 Properties of Homogeneous Degree Zero Minimizers.- 3.4 Further Properties of sing u.- 3.5 Definition of Top-dimensional Part of the Singular Set.- 3.6 Homogeneous Degree Zero ? with dim S(?) = n — 3.- 3.7 The Geometric Picture Near Points of sing*u.- 3.8 Consequences of Uniqueness of Tangent Maps.- 3.9 Approximation properties of subsets of ?n.- 3.10 Uniqueness of Tangent maps with isolated singularities.- 3.11 Functionals on vector bundles.- 3.12 The Liapunov-Schmidt Reduction.- 3.13 The ?ojasiewicz Inequality for ?.- 3.14 ?ojasiewicz for the Energy functional on Sn-1.- 3.15 Proof of Theorem 1 of Section 3.10.- 3.16 Appendix to Chapter 3.- 4 Rectifiability of the Singular Set.- 4.1 Statement of Main Theorems.- 4.2 A general rectifiability lemma.- 4.3 Gap Measures on Subsets of ?n.- 4.4 Energy Estimates.- 4.5 L2 estimates.- 4.6 The deviation function ?.- 4.7 Proof of Theorems 1, 2 of Section 4.1.- 4.8 The case when ?has arbitrary Riemannian metric.Autres livres qui pourraient ressembler au livre recherché:
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9783764353971 Theorems on Regularity and Singularity of Energy Minimizing Maps Leon Simon Author (Simon, Leon)
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