On the trace embedding and its applications to evolution equations-Reference-Cited by-同舟云学术

On the trace embedding and its applications to evolution equations

Published:2023-01-16 Issue:4 Volume:296 Page:1319-1350
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Agresti Antonio¹^ORCID,Lindemulder Nick²,Veraar Mark³^ORCID

Affiliation:

1. Institute of Science and Technology Austria Klosterneuburg Austria

2. Institute of Analysis Karlsruhe Institute of Technology Karlsruhe Germany

3. Delft Institute of Applied Mathematics Delft University of Technology Delft The Netherlands

Abstract

AbstractIn 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.

Funder

Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202100192

Reference58 articles.

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