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Math Help - Green's formula

  1. #1
    Junior Member
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    Post Green's formula

    Consider, in any dimension, the PDE:

    \nabla \cdot (p \nabla v) + qv +\lambda rv = 0 in  D

    with boundary conditions on  \partial D of

    \alpha _{1}v +\frac{\partial v}{\partial n} =0 where n is the normal direction.

    Use Green's formula to prove that there cannot be any generalized eigenfunctions: such generalized eigenfunctions w are defined as satisfying Lw +\lambda rw = rv and the same boundary conditions.

    Please help
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  2. #2
    Super Member girdav's Avatar
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    What are p, q, r and \alpha_1?
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