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The Resource Existence families, functional calculi and evolution equations, Ralph deLaubenfels

Existence families, functional calculi and evolution equations, Ralph deLaubenfels

Label
Existence families, functional calculi and evolution equations
Title
Existence families, functional calculi and evolution equations
Statement of responsibility
Ralph deLaubenfels
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
DeLaubenfels, Ralph
Index
index present
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics
Series volume
1570
http://library.link/vocab/subjectName
  • Evolution equations
  • Linear operators
  • Functional analysis
Label
Existence families, functional calculi and evolution equations, Ralph deLaubenfels
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 218-227) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • I. Intuition and Elementary Examples -- II. Existence Families -- III. Regularized Semigroups -- IV. The Solution Space of an Operator and Automatic Well-Posedness -- V. Exponentially Bounded (Banach) Solution Space -- VI. Well-posedness on a Larger Space; Generalized Solutions -- VII. Entire Vectors and Entire Existence Families -- VIII. Reversibility of Parabolic Problems -- IX. The Cauchy Problem for the Laplace Equation -- X. Boundary Values of Holomorphic Semigroups -- XI. The Schrodinger Equation -- XII. Functional Calculus for Commuting Generators of Bounded Strongly Continuous Groups -- XIII. Petrovsky Correct Matrices of Generators of Bounded Strongly Continuous Groups -- XIV. Arbitrary Matrices of Generators of Bounded Strongly Continuous Groups -- XV. More Examples of Regularized Semigroups -- XVI. Existence and Uniqueness Families -- XVII. C-resolvents and Hille-Yosida Type Theorems -- XVIII. Relationship to Integrated Semigroups -- XIX. Perturbations -- XX. Type of an Operator
  • XXI. Holomorphic C-existence Families -- XXII. Unbounded Holomorphic Functional Calculus for Operators with Polynomially Bounded Resolvents -- XXIII. Spectral Conditions Guaranteeing Solutions of the Abstract Cauchy Problem -- XXIV. Polynomials of Generators -- XXV. Iterated Abstract Cauchy Problems -- XXVI. Equipartition of Energy -- XXVII. Simultaneous Solution Space -- XXVIII. Exponentially Bounded Simultaneous Solution Space -- XXIX. Simultaneous Existence Families -- XXX. Simultaneous Existence Families for Matrices of Operators -- XXXI. Time Dependent Evolution Equations
Control code
29595385
Dimensions
24 cm
Extent
xv, 234 pages
Isbn
9780387577036
Lccn
93047576
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
(WaOLN)545304
Label
Existence families, functional calculi and evolution equations, Ralph deLaubenfels
Publication
Bibliography note
Includes bibliographical references (pages 218-227) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • I. Intuition and Elementary Examples -- II. Existence Families -- III. Regularized Semigroups -- IV. The Solution Space of an Operator and Automatic Well-Posedness -- V. Exponentially Bounded (Banach) Solution Space -- VI. Well-posedness on a Larger Space; Generalized Solutions -- VII. Entire Vectors and Entire Existence Families -- VIII. Reversibility of Parabolic Problems -- IX. The Cauchy Problem for the Laplace Equation -- X. Boundary Values of Holomorphic Semigroups -- XI. The Schrodinger Equation -- XII. Functional Calculus for Commuting Generators of Bounded Strongly Continuous Groups -- XIII. Petrovsky Correct Matrices of Generators of Bounded Strongly Continuous Groups -- XIV. Arbitrary Matrices of Generators of Bounded Strongly Continuous Groups -- XV. More Examples of Regularized Semigroups -- XVI. Existence and Uniqueness Families -- XVII. C-resolvents and Hille-Yosida Type Theorems -- XVIII. Relationship to Integrated Semigroups -- XIX. Perturbations -- XX. Type of an Operator
  • XXI. Holomorphic C-existence Families -- XXII. Unbounded Holomorphic Functional Calculus for Operators with Polynomially Bounded Resolvents -- XXIII. Spectral Conditions Guaranteeing Solutions of the Abstract Cauchy Problem -- XXIV. Polynomials of Generators -- XXV. Iterated Abstract Cauchy Problems -- XXVI. Equipartition of Energy -- XXVII. Simultaneous Solution Space -- XXVIII. Exponentially Bounded Simultaneous Solution Space -- XXIX. Simultaneous Existence Families -- XXX. Simultaneous Existence Families for Matrices of Operators -- XXXI. Time Dependent Evolution Equations
Control code
29595385
Dimensions
24 cm
Extent
xv, 234 pages
Isbn
9780387577036
Lccn
93047576
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
(WaOLN)545304

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