Well-posedness viaMonotonicity—an overview.

Rainer Picard, Sascha Trostorff, Marcus Waurick

Research output: Chapter in Book/Report/Conference proceedingChapter

3 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.
LanguageEnglish
Title of host publicationOperator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
EditorsWolfgang Arendt, Ralph Chill, Yuri Tomilov
Place of PublicationHeidelberg
PublisherSpringer
Pages397-452
Number of pages56
ISBN (Print)9783319184937
DOIs
Publication statusPublished - 20 Dec 2015

Publication series

NameOperator Theory: Advances and Applications
PublisherSpringer
Volume250
ISSN (Print)0255-0156

Fingerprint

Well-posedness
Homogenization
Monotonicity
Covering
Physics
Framework
Class

Keywords

  • well-posedness
  • monotonicity
  • homogenization
  • stability

Cite this

Picard, R., Trostorff, S., & Waurick, M. (2015). Well-posedness viaMonotonicity—an overview. In W. Arendt, R. Chill, & Y. Tomilov (Eds.), 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
Picard, Rainer ; Trostorff, Sascha ; Waurick, Marcus. / Well-posedness viaMonotonicity—an overview. Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. editor / Wolfgang Arendt ; Ralph Chill ; Yuri Tomilov. Heidelberg : Springer, 2015. pp. 397-452 (Operator Theory: Advances and Applications).
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Picard, R, Trostorff, S & Waurick, M 2015, Well-posedness viaMonotonicity—an overview. in W Arendt, R Chill & Y Tomilov (eds), 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.

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 proceedingChapter

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Picard R, Trostorff S, Waurick M. Well-posedness viaMonotonicity—an overview. In Arendt W, Chill R, Tomilov Y, editors, Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. Heidelberg: Springer. 2015. p. 397-452. (Operator Theory: Advances and Applications). https://doi.org/10.1007/978-3-319-18494-4