Title Statements
- Full title :The Beltrami equation / Tadeusz Iwaniec, Gaven Martin.
Edition Statements
- Publication Date:©2008.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©2008.
Notes
"Volume 191, number 893 (third of 5 numbers)."
The Physical Object
- Description:ix, 92 pages ; : 26 cm.
Edition Identifiers
- ISBN:9780821840450, 0821840452
- oclc:ocn173749585
- LC Classification:QA360
- Dewey Decimal:515/.3533
Table of Contents
1. Introduction -- 2. Quasiconformal mappings -- Analytic definition of quasiconformality -- The Beltrami equation -- Radial stretchings -- Classical regularity theory -- 3. Partial differential equations -- The transformation formula -- A fundamental example -- The construction -- Cavitation and Riemann surfaces -- 4. Mappings of finite distortion -- Orlicz-Sobolev spaces -- Monotonicity -- A Class of Orlicz functions -- The Monotonicity theorem -- Modulus of continuity -- 5. Hardy spaces and BMO -- Mollifiers -- Hardy-Orlicz spaces -- BMO -- L log L-integrability -- Liouville type theorems -- 6. The principal solution -- Solutions -- Uniqueness of principal solutions -- Stoilow factorization -- 7. Solutions for Integrable distortion -- Distortion in the exponential class -- An example -- Results -- Distortion in the subexponential class -- An example -- Further generalities -- Existence theory -- Global solutions -- Holomorphic dependence -- Examples and non-uniqueness -- Equations in the Plane -- Compactness -- Removable Singularities -- Final Comments -- Some Technical Results -- The Divergence Condition -- Integration by Parts -- Higher Integrability.
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