Problem 5.2. Assume that u(0) = u(1) = 0, and that u satisfies uv dr = fudr, 0 for all v E V = tv
Problem 5.2. Assume that u(0) = u(1) = 0, and that u satisfies uv dr = fudr, 0 for all v E V = tv : lull + |v'll F(u). b. Prove that the above minimization problem is equivalent to -u" =f, 0
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