Theory And Applications Of One-Sided Coupled Operator Matrices
Analysis of PDEs
2025-12-02 v1
Abstract
The theory of one-sided coupled operator matrices, recently introduced by K.-J. Engel, is an abstract framework for concrete initial value problems and allows complete information on well-posedness, and stability of solutions. These notes are meant as a survey on this rich theory, with a particular stress on applications to initial-boundary value problems with unbounded boundary feedbacks. A diffusion-transport system with dynamical boundary conditions is discussed, and its well-posedness and various other properties are investigated. As a by-product, the well-posedness of a wave equation with dynamical boundary condition is also obtained.
Keywords
Cite
@article{arxiv.2512.01719,
title = {Theory And Applications Of One-Sided Coupled Operator Matrices},
author = {Marjeta Kramar and Delio Mugnolo and Rainer Nagel},
journal= {arXiv preprint arXiv:2512.01719},
year = {2025}
}
Comments
This article was originally published in: Conf.\ Sem.\ Mat.\ Univ.\ Bari 283 (2003)