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Posted: 2/26/2007 3:35:30 PM EST
I have to show that:

A = -d^2 / dx^2


A = -d^4 / dx^4

are self adjoint and postive definite over the interval of 0 < x < 1.
Link Posted: 2/26/2007 9:21:38 PM EST
Paging Lambda Lambda Lambda!
Link Posted: 2/26/2007 9:31:22 PM EST

Originally Posted By prk:
Paging Lambda Lambda Lambda!

And ΩΜ?
Link Posted: 2/26/2007 9:33:48 PM EST
Define A as the negated second derivative and then apply the differential operator twice and negate it.

Then look to apply a self adjoint operator that will make A look like your result.

The trick is going to be what assumptions you can make based on the interval.
Link Posted: 2/27/2007 4:34:52 AM EST
[Last Edit: 2/27/2007 4:35:02 AM EST by xm607]
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