What is the jump condition ?

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What is the "jump condition"?

I've been studying Green's function and I've come across something called the "jump condition". What is the "jump condition" and what it is used for (and perhaps an example)? Cheers.
 

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HallsofIvy
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It's referring to a "jump" discontinuity where the limits from above and below both exist but are different. For Green's function, I believe the "jump condition" you are talking about is a jump discontinuity in the derivative Gx at x= t.
 

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