Well-posedness viaMonotonicity—an overview.

Rainer Picard; Sascha Trostorff; Marcus Waurick

doi:10.1007/978-3-319-18494-4

Well-posedness viaMonotonicity—an overview.

Rainer Picard, Sascha Trostorff, Marcus Waurick

Mathematics And Statistics

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

18 Citations (Scopus)

Abstract

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.

Original 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	https://doi.org/10.1007/978-3-319-18494-4
Publication status	Published - 20 Dec 2015

Publication series

Name	Operator Theory: Advances and Applications
Publisher	Springer
Volume	250
ISSN (Print)	0255-0156

Keywords

well-posedness
monotonicity
homogenization
stability

Access to Document

10.1007/978-3-319-18494-4

Cite this

@inbook{7448b233c33e4dd8af59dcfcb9a84a16,

title = "Well-posedness viaMonotonicity—an overview.",

abstract = "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.",

keywords = "well-posedness, monotonicity, homogenization, stability",

author = "Rainer Picard and Sascha Trostorff and Marcus Waurick",

year = "2015",

month = dec,

day = "20",

doi = "10.1007/978-3-319-18494-4",

language = "English",

isbn = "9783319184937",

series = "Operator Theory: Advances and Applications",

publisher = "Springer",

pages = "397--452",

editor = "Wolfgang Arendt and Ralph Chill and Yuri Tomilov",

booktitle = "Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics",

}

Well-posedness viaMonotonicity—an overview. / Picard, Rainer; Trostorff, Sascha; Waurick, Marcus.
Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. ed. / Wolfgang Arendt; Ralph Chill; Yuri Tomilov. Heidelberg: Springer, 2015. p. 397-452 (Operator Theory: Advances and Applications; Vol. 250).

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 -

Well-posedness viaMonotonicity—an overview.

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Cite this