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Timeline for Classification of PDE

Current License: CC BY-SA 3.0

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Jun 15, 2020 at 7:27 history edited CommunityBot
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Jul 31, 2018 at 13:13 comment added Qfwfq @timur: yes, it's very well possible I misunderstood a bit: I know essentially nothing about PDEs (nonlinear or otherwise)! :)
Jul 31, 2018 at 9:34 comment added timur @Qfwfq: You are reading it too literally. He meant that the focus nowadays is mostly on nonlinear equations.
Mar 4, 2015 at 6:26 comment added Denis Serre @Qfwfq. Right, Schroedinger's equation is linear, but the number of independent variables is $1+3N$ where $N$ is the number of particles (electrons, protons, neutrons, ...) In practice, it is untractable by numerical schemes. For this reason, one makes approximations (density functional, Hartree-Fock, Slatter and so on), which replace it by a non-linear equation in $1+3$ variables.
Mar 3, 2015 at 21:09 comment added Qfwfq Re "Nowadays, the interesting PDEs are non-linear": what about Schroedinger's equation? If I'm not mistaken it's linear, isn't it?
Jun 4, 2011 at 22:36 comment added AFK Thanks for these insights. Do you have a reference for question 3? Like a book in the spirit of the Petrowsky school you mentionned?
Jun 4, 2011 at 20:58 history edited Allen Knutson CC BY-SA 3.0
speling
Jun 4, 2011 at 20:52 history answered Denis Serre CC BY-SA 3.0