Conditional stability for backward parabolic operators with Osgood continuous coefficients
Analysis of PDEs
2019-07-09 v1
Abstract
We prove continuous dependence on initial data for a backward parabolic operator whose leading coefficients are Osgodd continuous in time. This result fills the gap between uniqueness and continuity results obtained so far.
Cite
@article{arxiv.1902.08573,
title = {Conditional stability for backward parabolic operators with Osgood continuous coefficients},
author = {Daniele Casagrande and Daniele Del Santo and Martino Prizzi},
journal= {arXiv preprint arXiv:1902.08573},
year = {2019}
}
Comments
32 pages. arXiv admin note: substantial text overlap with arXiv:1801.07890