Coverart for item
The Resource The Beltrami equation : a geometric approach, Vladimir Gutlyanskii [and others]

The Beltrami equation : a geometric approach, Vladimir Gutlyanskii [and others]

Label
The Beltrami equation : a geometric approach
Title
The Beltrami equation
Title remainder
a geometric approach
Statement of responsibility
Vladimir Gutlyanskii [and others]
Contributor
Subject
Language
eng
Summary
Annotation
Member of
Cataloging source
GW5XE
Dewey number
515/.9
Index
index present
Language note
English
LC call number
QA360
LC item number
.B45 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
http://library.link/vocab/relatedWorkOrContributorName
Gutlyanskii, Vladimir
Series statement
Developments in mathematics,
Series volume
v. 26
http://library.link/vocab/subjectName
  • Conformal mapping
  • Functions of complex variables
  • Singularities (Mathematics)
  • Mathematics
  • MATHEMATICS
  • Conformal mapping
  • Functions of complex variables
  • Singularities (Mathematics)
Summary expansion
This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis, meromorphic functions, low dimensional topology, holomorphic motions, complex dynamics, potential theory, electrostatics, magnetostatics, hydrodynamics and magneto-hydrodynamics. The purpose of this book is to present the recent developments in the theory of Beltrami equations; especiallythose concerning degenerate and alternating Beltrami equations. The authors study a wide circle of problems like convergence, existence, uniqueness, representation, removal of singularities, local distortion estimates and boundary behaviorof solutions to the Beltrami equations. The monographcontains a number of 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. The most important feature of this bookconcerns the unified geometric approach based on the modulus method that is effectively applied to solving the mentioned problems. Moreover, it is characteristic for the book application of many new concepts as strong ring solutions, tangent dilatations, weakly flat and strongly accessible boundaries, functions of finite mean oscillations and new integral conditions that make possible to realize a more deep and refined analysis of problems related to the Beltrami equations. Mastering and using these new tools alsogives essential advantages for the reader in the research of modern problems in many other domains. Every mathematics graduate library should have a copy of this book
Label
The Beltrami equation : a geometric approach, Vladimir Gutlyanskii [and others]
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • On the Beltrami Equations with Two Characteristics
  • Alternating Beltrami Equation
  • Introduction
  • Preliminaries
  • The Classical Beltrami Equation [æ]{u221E}<1
  • The Degenerate Case
  • BMO- and FMO-Quasiconformal Mappings
  • Ring Q-Homeomorphisms at Boundary Points
  • Strong Ring Solutions of Beltrami Equations
  • On the Dirichlet Problem for Beltrami Equations
Control code
793003098
Dimensions
unknown
Extent
1 online resource (xiii, 301 pages).
File format
unknown
Form of item
online
Isbn
9781461431916
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9786613711106
http://library.link/vocab/ext/overdrive/overdriveId
371110
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)793003098
Label
The Beltrami equation : a geometric approach, Vladimir Gutlyanskii [and others]
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • On the Beltrami Equations with Two Characteristics
  • Alternating Beltrami Equation
  • Introduction
  • Preliminaries
  • The Classical Beltrami Equation [æ]{u221E}<1
  • The Degenerate Case
  • BMO- and FMO-Quasiconformal Mappings
  • Ring Q-Homeomorphisms at Boundary Points
  • Strong Ring Solutions of Beltrami Equations
  • On the Dirichlet Problem for Beltrami Equations
Control code
793003098
Dimensions
unknown
Extent
1 online resource (xiii, 301 pages).
File format
unknown
Form of item
online
Isbn
9781461431916
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9786613711106
http://library.link/vocab/ext/overdrive/overdriveId
371110
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)793003098

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...