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Jun 3, 2021 at 11:30 vote accept Vladimir S Matveev
Jun 2, 2021 at 18:35 comment added Willie Wong After laughing at that wonderful remark, I'd say that acting with a pseudodifferential operator involves integrating (so there are no directions that are sideways to the integration). But you are right: when the situation is pretty much transport equation versus everybody else, it was a bit disingenuous of me to phrase the statement focusing on the "odd one out."
Jun 2, 2021 at 17:01 comment added Robert Bryant Maybe Cliff can't take the heat (equation).
Jun 2, 2021 at 16:00 comment added Willie Wong The Cliff's notes version of this answer: "you can't gain sideways regularity when integrating."
Jun 2, 2021 at 13:02 history edited Robert Bryant CC BY-SA 4.0
Simplified the explicit example.
Jun 1, 2021 at 12:33 history edited Robert Bryant CC BY-SA 4.0
Added a very specific example.
Jun 1, 2021 at 11:40 history answered Robert Bryant CC BY-SA 4.0