Let T (x. y) denote the bounded steady temperatures in a

Chapter 0, Problem 12.19

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Let T (x. y) denote the bounded steady temperatures in a plate x > 0. y > 0. with insulated faces. when Jim T(.\. y) = F 1 (.\') (.\' > 0). ' ... . ... lim T(x. r) = F,( r) . ) . - . (y > 0) .. (fig. 199). Herc F1 and F2 arc bounded and continuous except for at most a finite numher of finite jumps. \\!rite x + iy = :_and shmv with the aid of the expression ohtained in Exercise I that T(x. y) = T1(.r._,) +- T2(x. y) (X > 0. y > 0)

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