Well-posedness via Monotonicity. An Overview
  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. 
Rainer Picard, Sascha Trostorff, and Marcus Waurick
math.AP math-ph math.FA math.MP