Well-posedness via Monotonicity. An Overview
Analysis of PDEs
2014-06-19 v2 Mathematical Physics
Functional Analysis
math.MP
Abstract
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.
Cite
@article{arxiv.1401.5294,
title = {Well-posedness via Monotonicity. An Overview},
author = {Rainer Picard and Sascha Trostorff and Marcus Waurick},
journal= {arXiv preprint arXiv:1401.5294},
year = {2014}
}
Comments
Thoroughly revised version. Examples corrected