LEADER 03659nam 2200601 450 001 9910478903403321 005 20170822144134.0 010 $a0-8218-9871-X 035 $a(CKB)3780000000000223 035 $a(EBL)3114464 035 $a(SSID)ssj0000888963 035 $a(PQKBManifestationID)11465750 035 $a(PQKBTitleCode)TC0000888963 035 $a(PQKBWorkID)10866571 035 $a(PQKB)10128165 035 $a(MiAaPQ)EBC3114464 035 $a(PPN)195408314 035 $a(EXLCZ)993780000000000223 100 $a20150416h20122012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGlobal regularity for the Yang-Mills equations on high dimensional Minkowski space /$fJoachim Krieger, Jacob Sterbenz 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2012. 210 4$dİ2012 215 $a1 online resource (99 p.) 225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 223, Number 1047 300 $a"May 2013, Volume 223, Number 1047 (first of 5 numbers)." 311 $a0-8218-4489-X 320 $aIncludes bibliographical references. 327 $a""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 a???Main a-Priori Estimatea???""; ""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"" 327 $a""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 A?² Estimates for the Parametrix"" 327 $a""8.1. The a???Smooth/Smalla??? Decomposition of the * Kernel""""8.2. Bounds for the a???Smootha??? Portion of the Kernel""; ""8.3. Bounds for the a???Smalla??? Portion of the Kernel""; ""8.4. Proof of the Fixed-Time Accuracy Estimate""; ""Chapter 9. The Dispersive Estimate""; ""Chapter 10. Decomposable Function Spaces and Some Applications""; ""10.1. Decomposable Estimates for the Connection""; ""10.2. Proof of the Square Sum Strichartz Estimates""; ""10.3. Proof of the Differentiated Strichartz Estimates""; ""Chapter 11. Completion of the Proof""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 223, Number 1047. 606 $aGeneralized spaces 606 $aWave equation 606 $aYang-Mills theory 608 $aElectronic books. 615 0$aGeneralized spaces. 615 0$aWave equation. 615 0$aYang-Mills theory. 676 $a515/.3535 700 $aKrieger$b Joachim$f1976-$0940156 702 $aSterbenz$b Jacob 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910478903403321 996 $aGlobal regularity for the Yang-Mills equations on high dimensional Minkowski space$92148778 997 $aUNINA