A Sequence of Problems on Semigroups

Authors:

ISBN: 978-1-4614-0429-3 (Print) 978-1-4614-0430-9 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-vi

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    Book Chapter

    Pages 1-2

    Introduction

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    Book Chapter

    Pages 3-7

    The Idea of a Semigroup

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    Book Chapter

    Pages 9-11

    Translation Semigroups

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    Book Chapter

    Pages 13-16

    Linear Continuous Semigroups

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    Book Chapter

    Pages 17-21

    Strongly Continuous Linear Semigroups

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    Book Chapter

    Pages 23-26

    An Application to the Heat Equation

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    Book Chapter

    Pages 27-30

    Some Problems in Analysis

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    Book Chapter

    Pages 31-33

    Combining Semigroups, Linear Continuous Case

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    Book Chapter

    Pages 35-38

    Combining Semigroups, Nonlinear Continuous Case

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    Book Chapter

    Pages 39-42

    Some Connections Between Resolvents and Linear Semigroups

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    Book Chapter

    Pages 43-46

    Combining Semigroups, Strongly Continuous Linear Case

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    Book Chapter

    Pages 47-49

    Splitting Method, Numerics

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    Book Chapter

    Pages 51-53

    Semigroups of Steepest Descent, Abstract Linear Case

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    Book Chapter

    Pages 55-60

    Semigroups of Steepest Descent for Differential Equations

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    Book Chapter

    Pages 61-63

    Numerics for Semigroups of Steepest Descent

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    Book Chapter

    Pages 65-69

    Semigroups and Families of Sobolev Spaces

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    Book Chapter

    Pages 71-75

    Nonlinear Semigroups Studied by Linear Methods

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    Book Chapter

    Pages 77-79

    Measures and Linear Extension of Nonlinear Semigroups

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    Book Chapter

    Pages 81-85

    Local Semigroups and Lie Generators

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    Book Chapter

    Pages 87-89

    Boundary (Supplementary) Conditions for Partial Differential Equations

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