## Analytic Semigroups and Optimal Regularity in Parabolic ProblemsThe book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Motivated by applications to fully nonlinear problems the approach is focused on classical solutions with continuous or Hölder continuous derivatives. (Zentralblatt MATH) |

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### Contents

spaces of continuous | 6 |

Interpolation theory | 11 |

Analytic semigroups and intermediate spaces | 33 |

Generation of analytic semigroups by elliptic operators | 69 |

Nonhomogeneous equations | 121 |

This | 153 |

Linear parabolic problems | 173 |

Linear nonautonomous equations | 211 |

Semilinear equations | 253 |

Fully nonlinear equations | 287 |

Asymptotic behavior in fully nonlinear equations | 337 |

Spectrum and resolvent | 399 |

411 | |

423 | |

### Other editions - View all

Analytic Semigroups and Optimal Regularity in Parabolic Problems Alessandra Lunardi Limited preview - 2012 |

Analytic Semigroups and Optimal Regularity in Parabolic Problems Alessandra Lunardi No preview available - 2011 |

Analytic Semigroups and Optimal Regularity in Parabolic Problems Alessandra Lunardi No preview available - 2012 |