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Jun 8, 2015 at 0:40 history made wiki Post Made Community Wiki by Todd Trimble
Mar 28, 2013 at 12:43 comment added Alexandre Eremenko John, what you are saying looks very plausible. Even if we consider only LINEAR PDE, where there is a 4-volume Hormander book, there is still an enormous amount of research on the topics not covered in this book. I doubt that a comprehensive survey of such an area as Linear PDE covering all important topics is possible.
Mar 28, 2013 at 2:30 comment added John D. Cook I did my graduate work in PDEs, and I never felt I had an overview of what was known and what was open. Neither did any of the PDE researchers I talked to. So I asked them "How do you know whether what you're working on is new?" Basically they had no answer. In retrospect I'd say if you work on something obscure and unimportant, it stands a good chance of being original, or at least publishable, which of course is a weaker criterion.
Mar 20, 2013 at 12:23 history answered Alexandre Eremenko CC BY-SA 3.0