Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients
Analysis of PDEs
2022-08-30 v3
Abstract
We prove logarithmic conditional stability up to the final time for backward-parabolic operators whose coefficients are Log-Lipschitz continuous in and Lipschitz continuous in . The result complements previous achievements of Del Santo and Prizzi (2009) and Del Santo, Jaeh and Prizzi (2015), concerning conditional stability (of a type intermediate between Hoelder and logarithmic), arbitrarily closed, but not up to the final time.
Cite
@article{arxiv.2110.01566,
title = {Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients},
author = {Daniele Casagrande and Daniele Del Santo and Martino Prizzi},
journal= {arXiv preprint arXiv:2110.01566},
year = {2022}
}
Comments
35 pages. Accepted manuscript. arXiv admin note: text overlap with arXiv:1407.4616