(a) In three-dimensional infinite space, solve 2u t2 = c 22u + g(x)e it with zero

Chapter 11, Problem 11.2.8

(choose chapter or problem)

(a) In three-dimensional infinite space, solve 2u t2 = c 22u + g(x)e it with zero initial conditions, u(x, 0) = 0 and u t (x, 0) = 0. From your solution, show that the influence function for g(x) is an outward-propagating wave. (b) Compare with Exercise 9.5.10.

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