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.
Original 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

Keywords

  • well-posedness
  • monotonicity
  • homogenization
  • stability

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  • 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