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Fundamental solution of wave equation

  1. Jul 17, 2012 #1
    1. The problem statement, all variables and given/known data
    show that
    [itex]
    E(x,t):= \frac{1}{2} \left\{ \begin{array}{ll}
    1 & \mbox{if $|x|<t $};\\
    0 & \mbox{else}.\end{array} \right. [/itex]

    is a fundamental solution of the wave equation.
    2. Relevant equations
    [itex]LE = E_{tt} - \Delta E = \delta[/itex]

    3. The attempt at a solution
    firstly redefined [itex]E:=\frac{1}{2}H(t-|x|)[/itex]

    but the second order derivatives mean [itex]LE:=\delta'(t-|x|)[/itex]
     
  2. jcsd
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