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.
| Original language | English |
|---|---|
| Article number | 128078 |
| Number of pages | 15 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 533 |
| Issue number | 2 |
| Early online date | 5 Jan 2024 |
| DOIs | |
| Publication status | Published - 16 Jan 2024 |
Keywords
- Accretive operators
- Nonlinear semigroups
- Proof mining
- Rates of convergence
- Second-order Cauchy problems
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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