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Existence families : functional calculi and evolution equations. Lecture notes in mathematics ; Vol. 1570 - De Laubenfels, Ralph,
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De Laubenfels, Ralph,:

Existence families : functional calculi and evolution equations. Lecture notes in mathematics ; Vol. 1570 - used book

1994, ISBN: 3540577033

XV, 234 pages Unbekannter Einband Ex-Library book in very good condition. 9783540577034 Funktionalkalkül Evolutionsgleichung Cauchy-Anfangswertproblem 3, [PU:Berlin ; Heidelberg ; New Yor… More...

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Existence families : functional calculi and evolution equations. Lecture notes in mathematics ; Vol. 1570 - De Laubenfels, Ralph,
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De Laubenfels, Ralph,:

Existence families : functional calculi and evolution equations. Lecture notes in mathematics ; Vol. 1570 - used book

1994, ISBN: 3540577033

XV, 234 pages Unbekannter Einband Ex-Library book in very good condition. 9783540577034 Funktionalkalkül Evolutionsgleichung Cauchy-Anfangswertproblem 3, [PU:Berlin ; Heidelberg ; New Yor… More...

Shipping costs:Versandkostenfrei innerhalb der BRD. (EUR 0.00) Antiquariat Bookfarm Sebastian Seckfort, 04509 Löbnitz
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Existence families : functional calculi and evolution equations. Lecture notes in mathematics ; Vol. 1570 - De Laubenfels, Ralph,
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De Laubenfels, Ralph,:
Existence families : functional calculi and evolution equations. Lecture notes in mathematics ; Vol. 1570 - used book

1994

ISBN: 9783540577034

XV, 234 pages Ex-Library book in very good condition. 9783540577034 Versand D: 2,50 EUR Funktionalkalkül Evolutionsgleichung Cauchy-Anfangswertproblem, [PU:Berlin ; Heidelberg ; New York … More...

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Existence Families Functional Calculi and Evolution Equations - Ralph Delaubenfels
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Ralph Delaubenfels:
Existence Families Functional Calculi and Evolution Equations - Paperback

ISBN: 9783540577034

*Existence Families Functional Calculi and Evolution Equations* - Auflage 1994 / Taschenbuch für 47.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kar… More...

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Existence Families, Functional Calculi and Evolution Equations - Ralph DeLaubenfels
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Ralph DeLaubenfels:
Existence Families, Functional Calculi and Evolution Equations - Paperback

1994, ISBN: 9783540577034

Buch, Softcover, 1994, [PU: Springer Berlin], Springer Berlin, 1994

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Details of the book
Existence Families Functional Calculi and Evolution Equations
Author:
Title:
ISBN:

3540577033


This book presents an operator-theoretic approach to ill-posed evolution equations. It presents the basic theory, and the more surprising examples, of generalizations of strongly continuous semigroups known as 'existent families' and 'regularized semigroups'. These families of operators may be used either to produce all initial data for which a solution in the original space exists, or to construct a maximal subspace on which the problem is well-posed. Regularized semigroups are also used to construct functional, or operational, calculi for unbounded operators. The book takes an intuitive and constructive approach by emphasizing the interaction between functional calculus constructions and evolution equations. One thinks of a semigroup generated by A as etA and thinks of a regularized semigroup generated by A as etA g(A), producing solutions of the abstract Cauchy problem for initial data in the image of g(A). Material that is scattered throughout numerous papers is brought together and presented in a fresh, organized way, together with a great deal of new material.

Details of the book - Existence Families Functional Calculi and Evolution Equations


EAN (ISBN-13): 9783540577034
ISBN (ISBN-10): 3540577033
Paperback
Publishing year: 1994
Publisher: Springer Berlin Heidelberg
260 Pages
Weight: 0,398 kg
Language: eng/Englisch

Book in our database since 2008-01-26T14:34:29+00:00 (London)
Detail page last modified on 2024-01-15T07:46:11+00:00 (London)
ISBN/EAN: 3540577033

ISBN - alternate spelling:
3-540-57703-3, 978-3-540-57703-4
Alternate spelling and related search-keywords:
Book title: existence families functional calculi and evolution equations, evolution equation, lecture notes mathematics

Information from Publisher

Author: Ralph DeLaubenfels
Title: Lecture Notes in Mathematics; Existence Families, Functional Calculi and Evolution Equations
Publisher: Springer; Springer Berlin
244 Pages
Publishing year: 1994-03-28
Berlin; Heidelberg; DE
Language: English
48,14 € (DE)
49,49 € (AT)
60,12 CHF (CH)
Available
XVI, 244 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Semigroups of operators; abstract Cauchy problem; calculus; evolution equations; functional calculus; maximum; Analysis; EA

Intuition and elementary examples.- Existence families.- Regularized semigroups.- The solution space of an operator and automatic well-posedness.- Exponentially bounded (Banach) solution spaces.- Well-posedness on a larger space; Generalized solutions.- Entire vectors and entire existence families.- Reversibility of parabolic problems.- The cauchy problem for the Laplace equation.- Boundary values of holomorphic semigroups.- The Schrödinger equation.- Functional calculus for commuting generators of bounded strongly continuous groups.- Petrovsky correct matrices of generators of bounded strongly continuous groups.- Arbitrary matrices of generators of bounded strongly continuous groups.- More examples of regularized semigroups.- Existence and uniqueness families.- C-resolvents and Hille-Yosida type theorems.- Relationship to integrated semigroups.- Perturbations.- Type of an operator.- Holomorphic C-existence families.- Unbounded holomorphic functional calculus for operators with polynomially bounded resolvents.- Spectral conditions guaranteeing solutions of the abstract Cauchy problem.- Polynomials of generators.- Iterated abstract Cauchy problems.- Equipartition of energy.- Simultaneous solution space.- Exponentially bounded simultaneous solution space.- Simultaneous existence families.- Simultaneous existence families for matrices of operators.- Time dependent evolution equations.

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