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Timeline for Schauder regularity heat equation

Current License: CC BY-SA 4.0

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Aug 27, 2021 at 13:01 comment added foo90 @ZZZ, I don't know if this has to be added somewhere else other than in this comment, but recently I have also found that the paper " Hölder Regularity in Variational Parabolic Non-homogeneous Equations" by A. Lunardi and V. Vespri also answer the question.
Aug 27, 2021 at 12:57 vote accept foo90
Aug 26, 2021 at 14:21 comment added Michael Albanese @ZZZ: Fair enough.
Aug 26, 2021 at 14:02 comment added ZZZ @MichaelAlbanese, it would take me pages to introduce all the notations used in the statements. Moreover, the functional spaces are not the most usual, so I think that it is better to check directly in the book.
S Aug 26, 2021 at 14:00 review First answers
Aug 26, 2021 at 14:05
S Aug 26, 2021 at 14:00 history edited ZZZ CC BY-SA 4.0
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Aug 26, 2021 at 13:28 comment added ZZZ @AlexM. the theorem does answer the question, you just have to check what means every notation used in the statement (which is not straight forward at all). However, I agree with the fact that there is no way to check the details of the proofs or to rewrite it by yourself.
Aug 26, 2021 at 13:14 comment added Alex M. @MichaelAlbanese: That book is the prime example about how not to write a book if you want it to be read. It contains no enlighting ideas, just boring and heavy technique, and theorems (and notations) always depend on previous chapters and results. I could edit this post to include the stament of theorem 6.48, but you wouldn't understand a thing of it. So much so, that it is impossible to me to decide whether that theorem does answer the question or not...
Aug 26, 2021 at 12:54 comment added Michael Albanese Could you include the statement of Theorem 6.48 for those who don't have immediate access to the book?
S Aug 26, 2021 at 12:15 review Low quality posts
Aug 26, 2021 at 13:21
S Aug 26, 2021 at 12:15 review Late answers
Aug 26, 2021 at 12:54
Aug 26, 2021 at 12:00 review First posts
Aug 26, 2021 at 12:59
Aug 26, 2021 at 12:00 history answered ZZZ CC BY-SA 4.0