Biharmonic Equations
Analysis of PDEs
2025-12-02 v1 Functional Analysis
Abstract
In this note we devise and analyse well-posed variational formulations and operator theoretical methods for boundary value problems associated to the biharmonic operator. Of particular interest are Neumann type and over- and underdetermined (maximal and minimal) boundary value problems.
Cite
@article{arxiv.2512.01860,
title = {Biharmonic Equations},
author = {Dirk Pauly and Alberto Valli},
journal= {arXiv preprint arXiv:2512.01860},
year = {2025}
}