LEADER 03349nam 2200601 450 001 9910828650603321 005 20170816143319.0 010 $a1-4704-0499-0 035 $a(CKB)3360000000465077 035 $a(EBL)3114253 035 $a(SSID)ssj0000888795 035 $a(PQKBManifestationID)11533776 035 $a(PQKBTitleCode)TC0000888795 035 $a(PQKBWorkID)10867687 035 $a(PQKB)10164568 035 $a(MiAaPQ)EBC3114253 035 $a(RPAM)15004274 035 $a(PPN)195417828 035 $a(EXLCZ)993360000000465077 100 $a20070912h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe Beltrami equation /$fTadeusz Iwaniec, Gaven Martin 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (110 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 893 300 $a"Volume 191, number 893 (third of 5 numbers)." 311 $a0-8218-4045-2 320 $aIncludes bibliographical references (pages 89-92). 327 $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Quasiconformal Mappings""; ""2.1. Analytic Definition of Quasiconformality""; ""2.2. The Beltrami Equation""; ""2.3. Radial Stretchings""; ""2.4. Classical Regularity Theory""; ""Chapter 3. Partial Differential Equations""; ""3.1. The Transformation Formula""; ""3.2. A Fundamental Example""; ""3.3. The Construction""; ""3.4. Cavitation and Riemann Surfaces""; ""Chapter 4. Mappings of Finite Distortion""; ""4.1. Orlicz-Sobolev Spaces""; ""4.2. Monotonicity""; ""4.3. A Class of Orlicz Functions""; ""4.4. The Monotonicity Theorem"" 327 $a""4.5. Modulus of Continuity""""Chapter 5. Hardy Spaces and BMO""; ""5.1. Mollifiers""; ""5.2. Hardy-Orlicz Spaces""; ""5.3. BMO""; ""5.4. L log La???Integr ability""; ""5.5. Liouville Type Theorems""; ""Chapter 6. The Principal Solution""; ""6.1. Solutions""; ""6.2. Uniqueness of Principal Solutions""; ""6.3. Stoilow Factorization""; ""Chapter 7. Solutions for Integrable Distortion""; ""7.1. Distortion in the Exponential Class""; ""7.2. An Example""; ""7.3. Results""; ""7.4. Distortion in the Subexponential Class""; ""7.5. An Example""; ""7.6. Further Generalities""; ""7.7. Existence Theory"" 327 $a""7.8. Global Solutions""""7.9. Holomorphic Dependence""; ""7.10. Examples and Non-Uniqueness""; ""7.11. Equations in the Plane""; ""7.12. Compactness""; ""7.13. Removable Singularities""; ""7.14. Final Comments""; ""Chapter 8. Some Technical Results""; ""8.1. The Divergence Condition""; ""8.2. Integration by Parts""; ""8.3. Higher Integrability""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 893. 606 $aConformal mapping 606 $aDifferential equations, Partial 606 $aGeometry, Non-Euclidean 615 0$aConformal mapping. 615 0$aDifferential equations, Partial. 615 0$aGeometry, Non-Euclidean. 676 $a515.3533 700 $aIwaniec$b Tadeusz$066901 702 $aMartin$b Gaven 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828650603321 996 $aThe Beltrami equation$93958933 997 $aUNINA