Wiener–Hopf method: Difference between revisions

Revision as of 18:32, 25 August 2009

Revision as of 18:17, 25 January 2010

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==Example==

Let us consider the linear [[partial differential equation]]

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function <math>g(x)</math>,

:<math>f=g(x)</math> for <math>x\leq 0, \quad f_{y}=0</math> when <math>x>0</math>.

and decay at infinity i.e. <math>f\rightarrow 0</math> as <math>\boldsymbol{x}\rightarrow \infty</math>. Taking a [[Fourier transform]] with respect to x results in the following [[ordinary differential equation]]