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QUESTION 4 Consider the initial boundary value problem below 2x2 ди a: u(0,0) u(,0) - / (0,0),0 < r < Land 1 > 0, f(0),
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QUESTION 4 Consider the initial boundary value problem below 2x2 ди a: u(0,0) u(,0) - / (0,0),0 < r < Land 1 > 0, f(0),
QUESTION 4 Consider the initial boundary value problem below 2x2 ди a: u(0,0) u(,0) - / (0,0),0 < r < Land 1 > 0, f(0), u (2,0) = ().> 0 (),0 <r< Use the maximum principle for the heat equation, to prove that the above initial value problem has at most one solution (give all details) [30 Marks] TOTAL: (100 Marks]
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