Deviation identity for linear differential operators and its application to obstacle problems
Analysis of PDEs
2025-05-14 v1
Abstract
For a class of variational problems with linear differential operator, we obtain a convenient form of the deviation identity, i.e., the value of the distance between approximated solutions and the exact ones. We illustrate the result with an explicit form of the deviation identity for a biharmonic obstacle problem.
Cite
@article{arxiv.2505.08112,
title = {Deviation identity for linear differential operators and its application to obstacle problems},
author = {Kseniya Darovskaya},
journal= {arXiv preprint arXiv:2505.08112},
year = {2025}
}
Comments
5 pages, 0 figures. To appear in Analysis, PDEs, and Applications. Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics