The Resource Uniqueness Theorems for Variational Problems by the Method of Transformation Groups, by Wolfgang Reichel, (electronic resource)

Uniqueness Theorems for Variational Problems by the Method of Transformation Groups, by Wolfgang Reichel, (electronic resource)

Label
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Title
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Statement of responsibility
by Wolfgang Reichel
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space V does {\cal L} have at most one critical point? A sufficient condition for uniqueness is given: the presence of a "variational sub-symmetry", i.e., a one-parameter group G of transformations of V, which strictly reduces the values of {\cal L}. The "method of transformation groups" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity
Member of
http://library.link/vocab/creatorName
Reichel, Wolfgang
Image bit depth
0
LC call number
  • QA315-316
  • QA402.3
  • QA402.5-QA402.6
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1841
http://library.link/vocab/subjectName
  • Mathematics
  • Differential equations, partial
  • Mathematical optimization
  • Mathematics
  • Calculus of Variations and Optimal Control; Optimization
  • Partial Differential Equations
Label
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups, by Wolfgang Reichel, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Uniqueness of Critical Points (I) -- Uniqueness of Citical Pints (II) -- Variational Problems on Riemannian Manifolds -- Scalar Problems in Euclidean Space -- Vector Problems in Euclidean Space -- Fréchet-Differentiability -- Lipschitz-Properties of ge and omegae
Dimensions
unknown
Extent
XIV, 158 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540409151
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b96984
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-40915-1
Label
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups, by Wolfgang Reichel, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Uniqueness of Critical Points (I) -- Uniqueness of Citical Pints (II) -- Variational Problems on Riemannian Manifolds -- Scalar Problems in Euclidean Space -- Vector Problems in Euclidean Space -- Fréchet-Differentiability -- Lipschitz-Properties of ge and omegae
Dimensions
unknown
Extent
XIV, 158 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540409151
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b96984
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-40915-1

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