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Bibliographic Details
Main Authors: Hanche-Olsen, Harald, Holden, Helge
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.07308
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Table of Contents:
  • A fundamental issue in the theory of time-dependent differential equations is to characterize precompact sets in Bochner spaces. We here survey the theory, starting with the classical Aubin-Lions inequality and its important extension by Dubinskii. In particular, we give a simple and self-contained proof of the compactness result due to Chen, Jungel, and Liu.