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On the trace embedding and its applications to evolution equations

Agresti, Antonio; Lindemulder, Nick 1; Veraar, Mark
1 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)


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.

Volltext §
DOI: 10.5445/IR/1000155520
Veröffentlicht am 01.02.2023
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2021
Sprache Englisch
Identifikator KITopen-ID: 1000155520
Umfang 33 S.
Vorab online veröffentlicht am 11.04.2021
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