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arXiv:1401.5294 [math.AP]AbstractReferencesReviewsResources

Well-posedness via Monotonicity. An Overview

Rainer Picard, Sascha Trostorff, Marcus Waurick

Published 2014-01-21, updated 2014-06-18Version 2

The idea of monotonicity (or positive-definiteness in the linear case) 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 elaborate the applicability of our scheme with a number examples. A brief discussion of stability and homogenization issues is also provided.

Comments: Thoroughly revised version. Examples corrected
Categories: math.AP, math-ph, math.FA, math.MP
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