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arXiv · 2204.02223

Operator-valued $(L^{p},L^{q})$ Fourier multipliers and stability theory for evolution equations

Jan Rozendaal
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Abstract

We give an overview of some recent results on operator-valued $(L^{p},L^{q})$ Fourier multipliers and stability theory for evolution equations. The aim is to provide a relatively nontechnical introduction to the underlying ideas, emphasizing the connection between the two areas. We also indicate how operator-valued $(L^{p},L^{q})$ Fourier multipliers can be applied to functional calculus theory.

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Jan Rozendaal. 2022-04-05. Operator-valued $(L^{p},L^{q})$ Fourier multipliers and stability theory for evolution equations. https://doi.org/10.1016/j.indag.2022.08.008

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