(difcult)Solveutt c2u = f(x),wheref(x)=Afor

Chapter 9, Problem 7

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(difcult)Solveutt c2u = f(x),wheref(x)=Afor|x|< , f(x)=0for |x|> , Aisaconstant,andtheinitialdataareidenticallyzero.Sketch the regions in space-time that illustrate your answer. (Hint: Use (13) and nd the volume of intersection of two balls, or use (11) and Exercise 9.2.6(b).)

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