Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Theoretical possibility?

  1. Jan 16, 2007 #1
    Is it theoretically possible to achieve a general method to solve PDEs of mth-order and nth-degree or is there a theorem which rules out any such general solution?
     
  2. jcsd
  3. Jan 16, 2007 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    What do you mean by "a general method"- in terms of what kind of functions? Solving just linear equations with constant coefficients is equivalent to solving their characteristic equation, a polynomial. And it can be shown that there are polynomials that cannot be solved in terms of radicals.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?