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Published in:
2015 | OriginalPaper | Chapter
Well-posedness viaMonotonicity – an Overview
Authors : Rainer Picard, Sascha Trostorff, Marcus Waurick
Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Publisher: Springer International Publishing
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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.