## One-Parameter Semigroups for Linear Evolution EquationsThis book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background. |

### What people are saying - Write a review

User Review - Flag as inappropriate

I need this book how i get this book. My gmail id is sartajbs2@gmail.com

### Contents

4 | |

Notes | 46 |

Asymptotics of Semigroups | 295 |

Semigroups Everywhere | 347 |

Semigroups for Ordinary Differential Operators | 383 |

Semigroups for Partial Differential Operators | 404 |

A Brief History of the Exponential Function | 497 |

Appendix | 509 |

Epilogue | 531 |

555 | |

List of Symbols and Abbreviations | 577 |

### Other editions - View all

One-Parameter Semigroups for Linear Evolution Equations Klaus-Jochen Engel,Rainer Nagel Limited preview - 1999 |

One-Parameter Semigroups for Linear Evolution Equations Klaus-Jochen Engel,Rainer Nagel No preview available - 2013 |

One-Parameter Semigroups for Linear Evolution Equations Klaus-Jochen Engel,Rainer Nagel No preview available - 2014 |

### Common terms and phrases

a e D(A abstract Cauchy problem adjoint algebra analytic semigroup approximate assertions are equivalent assume assumption Banach space bounded operator characterization Co(Q continuous functions continuous semigroup T(t contraction semigroup converges Corollary Definition denote densely defined differential equation domain D(A e p(A eigenvalue estimate Example Exercise exists exponential function following assertions formula function q functional equation functional equation FE growth bound hence Hilbert space Hint Hölder spaces implies integral inverse Lemma Let T(t linear operator matrix Moreover multiplication operator multiplication semigroup norm continuous obtain one-parameter operator topology operators T(t Paragraph perturbation PROOF Proposition prove result satisfying Section semi sequence Sobolev space solution spectral bound spectral mapping theorem spectral theory spectrum strong operator topology strongly continuous semigroup subspace theory translation semigroup uniformly continuous WSMT