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^{2}- y

^{2}+ 2).

Using the fact that this fxn is harmonic, how do I find the max of u on [0,1]x[0,1]?

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- Thread starter Somefantastik
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- #1

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Using the fact that this fxn is harmonic, how do I find the max of u on [0,1]x[0,1]?

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HallsofIvy

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The boundary of [0,1]x[0,1] consists of 4 line segments but the function, reduced to those segments, is still harmonic so any extreme values must occur at the endpoints of those segments.

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HallsofIvy

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Thank you so much. That was very helpful.

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