A note on elliptic type boundary value problems with maximal monotone relations (Q2929418)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A note on elliptic type boundary value problems with maximal monotone relations |
scientific article; zbMATH DE number 6368927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on elliptic type boundary value problems with maximal monotone relations |
scientific article; zbMATH DE number 6368927 |
Statements
A note on elliptic type boundary value problems with maximal monotone relations (English)
0 references
12 November 2014
0 references
elliptic differential equations in divergence form
0 references
maximal monotone relations
0 references
Gelfand triples
0 references
0 references
0 references
0 references
The authors discuss an abstract framework for standard boundary value problems in divergence form with maximal monotone relations as ``coefficients''. A reformulation of the respective problems is constructed such that they turn out to be unitarily equivalent to inverting a maximal monotone relation in a Hilbert space. The method is based on the idea of ``tailor-made'' distributions as provided by the construction of extrapolation spaces. The abstract framework is illustrated by various examples.
0 references
