Global regularity for the Yang-Mills equations on high dimensional Minkowski space / / Joachim Krieger, Jacob Sterbenz

• Record Nr.: UNINA9910478903403321
• Autore: Krieger Joachim <1976->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2012; ©2012
• ISBN: 0-8218-9871-X
• Descrizione fisica: 1 online resource (99 p.)
• Collana: Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 223, Number 1047
• Disciplina: 515/.3535
• Soggetti: Generalized spaces; Wave equation; Yang-Mills theory; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "May 2013, Volume 223, Number 1047 (first of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. A Description of the Problem""; ""1.2. Some Basic Notation""; ""Chapter 2. Some Gauge-Theoretic Preliminaries""; ""Chapter 3. Reduction to the “Main a-Priori Estimateâ€?""; ""3.1. The Comparison Principle and Coulomb Form of the Equations""; ""3.2. Local Existence in the Coulomb Gauge""; ""3.3. The Main A-priori Estimate for the Curvature""; ""Chapter 4. Some Analytic Preliminaries""; ""4.1. Fourier Analytic Notation""; ""4.2. A Besov Calculus""; ""4.3. Microlocal Angular Decompositions""; ""4.4. Additional Notational Conventions""""Chapter 5. Proof of the Main A-Priori Estimate""; ""5.1. Function Spaces""; ""5.2. Proof of the Critical A-Priori Estimate""; ""Chapter 6. Reduction to Approximate Half-Wave Operators""; ""6.1. A Further Reduction""; ""Chapter 7. Construction of the Half-Wave Operators""; ""7.1. Construction of the Gauges""; ""7.2. A Preliminary Estimate for the Modified Potentials""; ""7.3. The Div-Curl System for the Gauge Transformations""; ""7.4. The Differentiated Parametrix""; ""Chapter 8. Fixed Time ² Estimates for the Parametrix""; ""8.1. The “Smooth/Smallâ€? Decomposition of the * Kernel""""8.2. Bounds for the “Smoothâ€? Portion of the Kernel""; ""8.3. Bounds for the “Smallâ€? Portion of the Kernel""; ""8.4. Proof of the Fixed-Time Accuracy Estimate""; ""Chapter 9. The Dispersive Estimate""; ""Chapter 10. Decomposable Function Spaces and Some Applications""; ""10.1. Decomposable Estimates for the Connection""; ""10.2. Proof of the Square Sum Strichartz Estimates""; ""10.3. Proof of the Differentiated Strichartz Estimates""; ""Chapter 11. Completion of the Proof""; ""Bibliography""