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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$d©2008
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   $a9910788851203321
996   $aThe Beltrami equation$93836126
997   $aUNINA

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