On the trace embedding and its applications to evolution equations
Analysis of PDEs
2022-05-17 v2 Functional Analysis
Probability
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 equation, where uniform trace estimates on the half-line are shown.
Cite
@article{arxiv.2104.05063,
title = {On the trace embedding and its applications to evolution equations},
author = {Antonio Agresti and Nick Lindemulder and Mark Veraar},
journal= {arXiv preprint arXiv:2104.05063},
year = {2022}
}
Comments
Some typos corrected. Accepted for publication in Mathematische Nachrichten