(c) State the maximum / minimum principle for the following heat equation: ut(x, t) - kurz(x, t) = 0, 0

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C State The Maximum Minimum Principle For The Following Heat Equation Ut X T Kurz X T 0 0 X L 0 T U X 0 1 (24.59 KiB) Viewed 34 times

(c) State the maximum / minimum principle for the following heat equation: ut(x, t) - kurz(x, t) = 0, 0<x< L, 0<t, u(x,0) = p(x), 0≤x≤L and illustrate this principle with the aid of a diagram. (d) Suppose that in part (c), the function p(x) is zero for all values of x. Use the maximum / minimum principle to show that the solution to the heat equation in part (c) is the trivial solution, i.e., show that whenever 0≤x≤ Land 0 ≤t, then u(x, t) = 0. 55 3