Characterization of polynomial decay rate for the solution of linear evolution equation
type: Dataset
contact point: Organization
  fn: CCSD
keyword: semigroup
keyword: polynomial-decay-rate
keyword: journal-articles
keyword: 34g10-35b40-35k90-35l05-47d06
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: infoeu-reposemanticsarticle
keyword: frequency-domain
landing page: 0044-2275
description: In this paper, we study the decay rate of solutions to strongly stable, but not exponentially stable linear evolution equations. It is known that the resolvent operator of such an equation must be unbounded on the imaginary axis. Our main result is an estimate of the decay rate when the unboundedness is of polynomial order. We then apply our main theorem to three strongly stable but not exponentially stable systems to obtain the decay rate, which is not available in the literature.
issued: 2026-05-09T03:28:32.546733
language: en
modified: 2026-05-09T03:28:32.546736

test_moissonnage_selune
type: Agent

Characterization of polynomial decay rate for the solution of linear evolution equation
type: Distribution
access URL: https://hal.science/hal-00088024
format: HTML
issued: 2026-05-09T03:28:32.548434
modified: 2026-05-09T03:28:32.537404