Does the quadratic functional have a minimum value when u(x) is subject to the homogeneous Neumann boundary

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Does the quadratic functional
Plu] = [* - (x - ]dx

have a minimum value when u(x) is subject to the homogeneous Neumann boundary value conditions u'(0) = u'(1) = 0? If so, find all functions that minimize p[u]. Hint: What are the solutions to the associated boundary value problem?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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