Description

• Title:
  Semiflow selection and Markov selection theorems
• Creator:
  Cardona, Jorge E.;
  Kapitanski, Lev
• Description:
  The deterministic analog of the Markov property of a time-homogeneous Markov process is the semigroup property of solutions of an autonomous differential equation. The semigroup property arises naturally when the solutions of a differential equation are unique, and leads to a semiflow. We prove an abstract result on the measurable selection of a semiflow for the situations without uniqueness. We outline applications to ODEs, PDEs, differential inclusions, etc. Our proof of the semiflow selection theorem is motivated by N.V. Krylov's Markov selection theorem. To accentuate this connection, we include a new version of the Markov selection theorem related to more recent papers of Flandoli and Romito and Goldys et al.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.09.05
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 56, No 1 (September 2020); 197 - 227;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.010/26462 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2020.010/26463
• Subject:
  Measurable selection theorems;
  semiflows;
  Markov property;
  Markov selection theorem;
  Primary;
  28B20;
  34G25;
  Secondary;
  60J25;
  35B99
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.010
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other