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    On Neumann eigenfunctions in lip domains 

    Burdzy, Krzysztof; Atar, Rami (American Mathematical Society, 2004)
    A "lip domain" is a planar set lying between graphs of two Lipschitz functions with constant 1. We show that the second Neumann eigenvalue is simple in every lip domain except the square. The corresponding eigenfunction attains its maximum and minimum at the boundary points at the extreme left and right. This settles the ...
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    On nodal lines of Neumann eigenfunctions 

    Burdzy, Krzysztof; Atar, Rami (Institute of Mathematical Statistics, 2002-06-03)
    We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain.

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    Author
    Atar, Rami (2)
    Burdzy, Krzysztof (2)
    Subjectreflected Brownian motion (2)couplings (1)eigenfunction (1)hot spots problem (1)mirror coupling (1)Neumann eigenfunctions (1)Neumann problem (1)nodal line (1)... View MoreDate Issued2004 (1)2002 (1)

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