1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Distribution theory

  1. Mar 26, 2009 #1
    1. The problem statement, all variables and given/known data

    Find all u in D'(R) (distributions) such that xu = 0 in D'(R)

    2. Relevant equations

    3. The attempt at a solution

    My first statement is that xu = 0 in distribution is the scalar product < xu, phi > = 0 where phi is any test function. Since it should be correct for ALL testfunctions this equals xu alone being equal to 0.

    This must lead to that all solutions in D'(R) are captured with the dirac delta function?

    /M
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted