### Abstract

Language | English |
---|---|

Title of host publication | Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics |

Editors | Wolfgang Arendt, Ralph Chill, Yuri Tomilov |

Place of Publication | Heidelberg |

Publisher | Springer |

Pages | 397-452 |

Number of pages | 56 |

ISBN (Print) | 9783319184937 |

DOIs | |

Publication status | Published - 20 Dec 2015 |

### Publication series

Name | Operator Theory: Advances and Applications |
---|---|

Publisher | Springer |

Volume | 250 |

ISSN (Print) | 0255-0156 |

### Fingerprint

### Keywords

- well-posedness
- monotonicity
- homogenization
- stability

### Cite this

*Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics*(pp. 397-452). (Operator Theory: Advances and Applications; Vol. 250). Heidelberg: Springer. https://doi.org/10.1007/978-3-319-18494-4

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*Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics.*Operator Theory: Advances and Applications, vol. 250, Springer, Heidelberg, pp. 397-452. https://doi.org/10.1007/978-3-319-18494-4

**Well-posedness viaMonotonicity—an overview.** / Picard, Rainer; Trostorff, Sascha; Waurick, Marcus.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Well-posedness viaMonotonicity—an overview.

AU - Picard, Rainer

AU - Trostorff, Sascha

AU - Waurick, Marcus

PY - 2015/12/20

Y1 - 2015/12/20

N2 - The idea of monotonicity is shown to be the central theme of the solution theories associated with problems of mathematical physics. A “grand unified” setting is surveyed covering a comprehensive class of such problems. We illustrate the applicability of this setting with a number of examples. A brief discussion of stability and homogenization issues within this framework is also included.

AB - The idea of monotonicity is shown to be the central theme of the solution theories associated with problems of mathematical physics. A “grand unified” setting is surveyed covering a comprehensive class of such problems. We illustrate the applicability of this setting with a number of examples. A brief discussion of stability and homogenization issues within this framework is also included.

KW - well-posedness

KW - monotonicity

KW - homogenization

KW - stability

UR - http://www.springer.com

U2 - 10.1007/978-3-319-18494-4

DO - 10.1007/978-3-319-18494-4

M3 - Chapter

SN - 9783319184937

T3 - Operator Theory: Advances and Applications

SP - 397

EP - 452

BT - Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics

A2 - Arendt, Wolfgang

A2 - Chill, Ralph

A2 - Tomilov, Yuri

PB - Springer

CY - Heidelberg

ER -