03349nam 2200601 450 991082865060332120170816143319.01-4704-0499-0(CKB)3360000000465077(EBL)3114253(SSID)ssj0000888795(PQKBManifestationID)11533776(PQKBTitleCode)TC0000888795(PQKBWorkID)10867687(PQKB)10164568(MiAaPQ)EBC3114253(RPAM)15004274(PPN)195417828(EXLCZ)99336000000046507720070912h20082008 uy| 0engur|n|---|||||txtccrThe Beltrami equation /Tadeusz Iwaniec, Gaven MartinProvidence, Rhode Island :American Mathematical Society,[2008]©20081 online resource (110 p.)Memoirs of the American Mathematical Society ;number 893"Volume 191, number 893 (third of 5 numbers)."0-8218-4045-2 Includes bibliographical references (pages 89-92).""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""""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 Lâ€?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""""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""Memoirs of the American Mathematical Society ;no. 893.Conformal mappingDifferential equations, PartialGeometry, Non-EuclideanConformal mapping.Differential equations, Partial.Geometry, Non-Euclidean.515.3533Iwaniec Tadeusz66901Martin GavenMiAaPQMiAaPQMiAaPQBOOK9910828650603321The Beltrami equation3958933UNINA