ôu a?u Let u be the unique solution of where (x, t) e (0, 1) x (0, 0), u(x, 0) = %3D sin Tx, x e (0, 1) u(0, t) = u(1, t) = 0t e (0, 0) Then which of the following are true? (a) 3 (x, t) e (0, 1) × (0, o) s.t. u(x, t) = 0 ди (x,1) =0 ốt (b) 3 (x, t) e (0, 1) x (0, c0) s.t. (c) The function e'u(x, t) is bounded for (x, t) e (0, 1) x (0, 0)

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