Patricia Crane

2022-01-19

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Is it always possible to solve an equation $u{}^{″}=0$ in [0,1] if are given?(What is connection to first question?) Is the solution - unique?

Neil Dismukes

Expert

For the first one
From the divergence theorem for the vector field gradu we get that:

where $\nu$ is the volume element.
Using now the ypothesis that

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