On the trace embedding and its applications to evolution equations

Antonio Agresti, Nick Lindemulder, Mark Veraar*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)
30 Downloads (Pure)

Abstract

In this paper, we consider traces at initial times for functions with mixed time-space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that we can allow general interpolation couples. The abstract results are applied to regularity problems for fractional evolution equations and stochastic evolution equations, where uniform trace estimates on the half-line are shown.

Original languageEnglish
Pages (from-to)1319-1350
Number of pages32
JournalMathematische Nachrichten
Volume296
Issue number4
DOIs
Publication statusPublished - 2023

Keywords

  • anisotropic function spaces
  • Besov spaces
  • Bessel-potential spaces
  • integral equations
  • Sobolev spaces
  • stochastic maximal regularity
  • traces
  • Triebel–Lizorkin spaces
  • weighted function spaces

Fingerprint

Dive into the research topics of 'On the trace embedding and its applications to evolution equations'. Together they form a unique fingerprint.

Cite this