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catalog contributor b6130072.
catalog created "c1994.".
catalog date "1994".
catalog date "c1994.".
catalog dateCopyrighted "c1994.".
catalog description "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.".
catalog description "Includes bibliographical references (p. 218-227).".
catalog description "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.".
catalog extent "xv, 234 p. ;".
catalog hasFormat "Existence families, functional calculi, and evolution equations.".
catalog identifier "0387577033".
catalog isFormatOf "Existence families, functional calculi, and evolution equations.".
catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1570.".
catalog isPartOf "Lecture notes in mathematics ; 1570".
catalog issued "1994".
catalog issued "c1994.".
catalog language "eng".
catalog publisher "Berlin ; New York : Springer-Verlag,".
catalog relation "Existence families, functional calculi, and evolution equations.".
catalog subject "510 s 515/.353 20".
catalog subject "Evolution equations.".
catalog subject "Functional analysis.".
catalog subject "Linear operators.".
catalog subject "QA3 .L28 no. 1570 QA377".
catalog tableOfContents "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.".
catalog tableOfContents "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.".
catalog title "Existence families, functional calculi, and evolution equations / Ralph deLaubenfels.".
catalog type "text".