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

Autor: Rozendaal, Jan
Rok vydání: 2022
Předmět:
Zdroj: Indag. Math. 34 (2023), no. 1, 1-36
Druh dokumentu: Working Paper
DOI: 10.1016/j.indag.2022.08.008
Popis: 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.
Comment: Expository notes. Final version before publication
Databáze: arXiv