A note on elliptic type boundary value problems with maximal monotone relations
Analysis of PDEs
2014-09-04 v1 Functional Analysis
Abstract
In this note we 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 unitary 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, see e.g. [Picard, McGhee: Partial Differential Equations: A unified Hilbert Space Approach. DeGruyter, 2011]. The abstract framework is illustrated by various examples.
Keywords
Cite
@article{arxiv.1209.0402,
title = {A note on elliptic type boundary value problems with maximal monotone relations},
author = {Sascha Trostorff and Marcus Waurick},
journal= {arXiv preprint arXiv:1209.0402},
year = {2014}
}