Rates of convergence for the asymptotic behavior of second-order Cauchy problems
Analysis of PDEs
2023-04-18 v1
Abstract
We provide a quantitative version of a result due to Poffald and Reich on the asymptotic behavior of solutions of a second-order Cauchy problem generated by an accretive operator in the form of a rate of convergence. This quantitative result is then used to generalize a result of Xu on the asymptotic behavior of almost-orbits of the solution semigroup of a first-order Cauchy problem to this second-order case.
Keywords
Cite
@article{arxiv.2304.08213,
title = {Rates of convergence for the asymptotic behavior of second-order Cauchy problems},
author = {Nicholas Pischke},
journal= {arXiv preprint arXiv:2304.08213},
year = {2023}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:2301.06880