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PDE and manifolds

  1. Nov 28, 2009 #1
    I'm looking to delve into PDEs. I'm reading thru Lee's Smooth Manifolds, and he has a chapter on integral manifolds, and how they relate to PDE solutions via Frobenius' theorem. I find the hint of geometrical aspects very appealing.

    Evans' PDE book (that I was planning on picking up) doesn't seem to mention these geometrical aspect of PDEs - no manifolds, frobenius, differential forms in the index. For instance, going by the index, Taylor does.

    https://www.amazon.com/Partial-Diff...=sr_1_2?ie=UTF8&s=books&qid=1259469798&sr=1-2

    Yet many of the reviews I've read, and browsing course homepages, tend to favor Evans' treatment for intro PDEs.

    Can anyone give me insight into this? Are the geometrical aspects of PDEs via manifolds not that compelling/useful? Or is it too much additional complexity for an intro course? Or what?

    thanks
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
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