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What's the difference between PDE and geometric analysis? Are there any survey or introduction on PDE, especially PDE of mixted type.I'm a freshman. Many thanks

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 Why are you, only a freshman, already interested in PDE's of mixed type? – Deane Yang Feb 26 2012 at 12:20
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 For starters, geometric analysis $\setminus$ PDE $\cap$ geometry $\neq \emptyset$? – Willie Wong Feb 26 2012 at 15:46
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 BTW, I don't think that the question as stated is a good fit for MathOverflow. PDE and geometric analysis are both huge subjects, with certain degree of overlap (as well as nonempty symmetric difference), if you are asking "what's the difference between PDE and geometric analysis", you are actually basically asking "What is PDE" and "What is geometric analysis", both of which are extremely broad questions! – Willie Wong Feb 26 2012 at 15:53
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 Willie, you're right. Lancy should start by talking to his classmates and teachers and come back to MathOverflow with more specific questions that his classmates and teachers aren't able to answer. – Deane Yang Feb 26 2012 at 18:13
Willie, I beg to differ with your first comment, which expresses a widely held view that geometric analysis always means geometric applications and properties of PDE"s. In fact, I was told that it also means only geometric applications and properties of elliptic and parabolic PDE's. Admittedly, that's what 99% of all geometric analysts seem to do. But, besides the rather important topic of hyperbolic PDE's that arise in geometry, geometric analysis does encompass other areas that do not involve PDE's. Integral and convex geometry is one particular example of this. – Deane Yang Feb 26 2012 at 20:44
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closed as off topic by Willie Wong, Nate Eldredge, Chris Godsil, Qiaochu Yuan, Ryan Budney Feb 27 2012 at 4:06

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