000			03656nam a22005175i 4500
001			978-1-4614-3191-6
003			DE-He213
005			20140220083246.0
007			cr nn 008mamaa
008			120420s2012 xxu| s |||| 0|eng d
020			_a9781461431916 _9978-1-4614-3191-6
024	7		_a10.1007/978-1-4614-3191-6 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aGutlyanskii, Vladimir. _eauthor.
245	1	4	_aThe Beltrami Equation _h[electronic resource] : _bA Geometric Approach / _cby Vladimir Gutlyanskii, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov.
264		1	_aNew York, NY : _bSpringer New York, _c2012.
300			_aXIII, 301p. 6 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aDevelopments in Mathematics, _x1389-2177 ; _v26
505	0		_a1. Introduction -- 2. Preliminaries -- 3. The Classical Beltrami Equation ||μ||∞ < 1 -- 4. The Degenerate Case -- 5. BMO- and FMO-Quasiconformal Mappings -- 6. Ring Q-Homeomorphisms at Boundary Points -- 7. Strong Ring Solutions of Beltrami Equations -- 8. On the Dirichlet Problem for Beltrami Equations -- 9. On the Beltrami Equations with Two Characteristics -- 10. Alternating Beltrami Equation -- References -- Index.
520			_aThe Beltrami Equation: A Geometric Approach will be particularly useful to many specialists in modern geometric analysis, quasiconformal mappings and extensions, beginning researchers, and graduate students with a year’s background in complex variables. This book covers the state-of-the art in the ongoing study of the Beltrami equation, the classical equation that has been studied for more than 100 years. Along with its rich history, the Beltrami equation plays a significant role in geometry, analysis, and physics.   The most important feature of this work concerns the unified geometric approach taken based on the modulus method that can be effectively applied to solving many problems in mathematical physics. Beautiful examples illustrate the relationship between mappings with bounded oscillation and those with finite oscillations.   Written by authors that are well-known specialists in this field, this monograph presents recent developments in the theory of Beltrami equations, studying a variety of problems like convergence, existence, uniqueness, representation, removal of singularities, local distortion estimates, and boundary behavior of solutions to the Beltrami equations. It contains new types of criteria in the given problems, particularly new integral conditions for the existence of regular solutions to the Beltrami equations that turned out to be not only sufficient but also necessary.
650		0	_aMathematics.
650		0	_aFunctions of complex variables.
650		0	_aDifferential Equations.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aFunctions of a Complex Variable.
650	2	4	_aOrdinary Differential Equations.
700	1		_aRyazanov, Vladimir. _eauthor.
700	1		_aSrebro, Uri. _eauthor.
700	1		_aYakubov, Eduard. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461431909
830		0	_aDevelopments in Mathematics, _x1389-2177 ; _v26
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-3191-6
912			_aZDB-2-SMA
999			_c101317 _d101317