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Global regularity for the Yang-Mills equations on high dimensional Minkowski space / / Joachim Krieger, Jacob Sterbenz
| Global regularity for the Yang-Mills equations on high dimensional Minkowski space / / Joachim Krieger, Jacob Sterbenz |
| Autore | Krieger Joachim <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (99 p.) |
| Disciplina | 515/.3535 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Generalized spaces
Wave equation Yang-Mills theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9871-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 Estimate�""; ""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/Small� Decomposition of the * Kernel""""8.2. Bounds for the “Smooth� Portion of the Kernel""; ""8.3. Bounds for the “Small� 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"" |
| Record Nr. | UNINA-9910478903403321 |
Krieger Joachim <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Global regularity for the Yang-Mills equations on high dimensional Minkowski space / / Joachim Krieger, Jacob Sterbenz
| Global regularity for the Yang-Mills equations on high dimensional Minkowski space / / Joachim Krieger, Jacob Sterbenz |
| Autore | Krieger Joachim <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (99 p.) |
| Disciplina | 515/.3535 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Generalized spaces
Wave equation Yang-Mills theory |
| ISBN | 0-8218-9871-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 Estimate�""; ""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/Small� Decomposition of the * Kernel""""8.2. Bounds for the “Smooth� Portion of the Kernel""; ""8.3. Bounds for the “Small� 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"" |
| Record Nr. | UNINA-9910796036703321 |
|
Krieger Joachim <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Global regularity for the Yang-Mills equations on high dimensional Minkowski space / / Joachim Krieger, Jacob Sterbenz
| Global regularity for the Yang-Mills equations on high dimensional Minkowski space / / Joachim Krieger, Jacob Sterbenz |
| Autore | Krieger Joachim <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (99 p.) |
| Disciplina | 515/.3535 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Generalized spaces
Wave equation Yang-Mills theory |
| ISBN | 0-8218-9871-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 Estimate�""; ""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/Small� Decomposition of the * Kernel""""8.2. Bounds for the “Smooth� Portion of the Kernel""; ""8.3. Bounds for the “Small� 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"" |
| Record Nr. | UNINA-9910819075203321 |
|
Krieger Joachim <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||