Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

(Edit: Reposted at Math.SE )

Psi_xx - Psi_tt - 4Psi = exp(exp(3it))*dirac_delta(x) DE valid for all x,t (no boundary conditions specified). Solve for Psi. If the DE is singular, then nontrivial solutions are okay.

-I solved the homogeneous portion, Psi_homogeneous, of this equation via separation of variables but my solution is just for some random case of k^2 where: F''/F = G''/G + 4 = k^2. I chose the case where k^2 = 0 which gave me solutions for Psi_homogeneous like x*sin((4^0.5)*t) and x*cos((4^0.5)*t).

-With the guess method for Psi_particular, I have no idea what to guess on a general form of exp(exp(3it))*dirac_delta(x) to plug back in to the PDE.

-I have read about Green's Functions but, man, I'm having a hard time understanding the guides I have seen because they skip so many of the intermediate steps. I understand that these Green's Functions can provide a general solution and that seems like what I'm looking for. I likely spent a lot of time for nothing on my first attempt with separation of variables for Psi_homogeneous and then looking for Psi_particular using the guess method...

-I'm curious if there is a general set of IC/BCs that I should be assuming as well?

share|improve this question
    
Your question is probably more suited for math.stackexchange.com. –  Willie Wong Jan 14 '11 at 17:26
    
Okay, I'll take it over there. –  thenickname Jan 14 '11 at 17:28
    
I wish someome would edit the Latex so the equations are (more) readable! –  drbobmeister Jan 14 '11 at 18:05
1  
@drbobmeister: I fixed the LaTeX on the version posted to Math.SE, so I don't see a reason to fix it here also. –  Willie Wong Jan 14 '11 at 18:34
    
Thanks, Willie, I'll check it out. –  drbobmeister Jan 14 '11 at 18:34
add comment

closed as too localized by Andrey Rekalo, Willie Wong, José Figueroa-O'Farrill, Andres Caicedo, Yemon Choi Jan 14 '11 at 18:52

This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

Browse other questions tagged or ask your own question.