Rates of convergence for the asymptotic behavior of second-order Cauchy problems

被引：1

作者：

Pischke, Nicholas ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 533卷 / 02期

关键词：

Accretive operators; Nonlinear semigroups; Second-order Cauchy problems; Rates of convergence; Proof mining; CONTRACTION-SEMIGROUPS; LOGICAL METATHEOREMS; ALMOST-ORBITS; EQUATIONS;

D O I：

10.1016/j.jmaa.2023.128078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：15

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