03657nam 2200601 450 991081907520332120170822144134.00-8218-9871-X(CKB)3780000000000223(EBL)3114464(SSID)ssj0000888963(PQKBManifestationID)11465750(PQKBTitleCode)TC0000888963(PQKBWorkID)10866571(PQKB)10128165(MiAaPQ)EBC3114464(RPAM)17652014(PPN)195408314(EXLCZ)99378000000000022320150416h20122012 uy 0engur|n|---|||||txtccrGlobal regularity for the Yang-Mills equations on high dimensional Minkowski space /Joachim Krieger, Jacob SterbenzProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (99 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 223, Number 1047"May 2013, Volume 223, Number 1047 (first of 5 numbers)."0-8218-4489-X Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 223, Number 1047.Generalized spacesWave equationYang-Mills theoryGeneralized spaces.Wave equation.Yang-Mills theory.515/.3535Krieger Joachim1976-1071019Sterbenz JacobMiAaPQMiAaPQMiAaPQBOOK9910819075203321Global regularity for the Yang-Mills equations on high dimensional Minkowski space3999488UNINA