On the trace embedding and its applications to evolution equations
Agresti A, Lindemulder N, Veraar M. 2023. On the trace embedding and its applications to evolution equations. Mathematische Nachrichten.
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Author
Agresti, AntonioISTA 
;
Lindemulder, Nick;
Veraar, Mark
;
Lindemulder, Nick;
Veraar, MarkDepartment
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.
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Date Published
2023-01-16
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Mathematische Nachrichten
Acknowledgement
The first author has been partially supported by the Nachwuchsring—Network for the promotion of young scientists—at TU Kaiserslautern. The second and third authors were supported by the Vidi subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO).
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Cite this
Agresti A, Lindemulder N, Veraar M. On the trace embedding and its applications to evolution equations. Mathematische Nachrichten. 2023. doi:10.1002/mana.202100192
Agresti, A., Lindemulder, N., & Veraar, M. (2023). On the trace embedding and its applications to evolution equations. Mathematische Nachrichten. Wiley. https://doi.org/10.1002/mana.202100192
Agresti, Antonio, Nick Lindemulder, and Mark Veraar. “On the Trace Embedding and Its Applications to Evolution Equations.” Mathematische Nachrichten. Wiley, 2023. https://doi.org/10.1002/mana.202100192.
A. Agresti, N. Lindemulder, and M. Veraar, “On the trace embedding and its applications to evolution equations,” Mathematische Nachrichten. Wiley, 2023.
Agresti A, Lindemulder N, Veraar M. 2023. On the trace embedding and its applications to evolution equations. Mathematische Nachrichten.
Agresti, Antonio, et al. “On the Trace Embedding and Its Applications to Evolution Equations.” Mathematische Nachrichten, Wiley, 2023, doi:10.1002/mana.202100192.
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