Recent content by ekalbh

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    Graduate Solving a PDE Eigenvalue Problem: Proving All Eigenvalues Are Positive

    Sorry, I mean given a pde, how would you go about finding out if the eigenvalues are positive, negative, zero, or a combination of those.
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    Graduate Solving a PDE Eigenvalue Problem: Proving All Eigenvalues Are Positive

    I have a PDE test next week and I'm kinda confused. How do you prove that eigenvalues are all positive? I know Rayleigh Quotient shows the eigenvalues are greater than or equal to zero, but can someone explain the next step. Thanks in advance