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.
|Title of host publication||Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics|
|Editors||Wolfgang Arendt, Ralph Chill, Yuri Tomilov|
|Place of Publication||Heidelberg|
|Number of pages||56|
|Publication status||Published - 20 Dec 2015|
|Name||Operator Theory: Advances and Applications|