James B. Kennedy

activity

20102024

most citedThe nodal line of the second eigenfunction of the Robin Laplacian in

R^{2}

can be closed

2 citations · 6 across the 6 of their papers we have counts for

collaborators

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math.AP2010★ 2 cited

The nodal line of the second eigenfunction of the Robin Laplacian in $R^{2}$ can be closed

J. B. Kennedy

We construct a multiply connected domain in $R^{2}$ for which the second eigenfunction of the Laplacian with Robin boundary conditions has an interior nodal line. In the pro…

math.AP2010★ 2 cited

Closed nodal surfaces for simply connected domains in higher dimensions

J. B. Kennedy

We give an example of a domain in dimension $N \geq 3$ , homeomorphic to a ball and with analytic boundary, for which the second eigenvalue of the Dirichlet Laplacian has an eigenfu…

The nodal line of the second eigenfunction of the Robin Laplacian in R2 can be closed

Closed nodal surfaces for simply connected domains in higher dimensions

The nodal line of the second eigenfunction of the Robin Laplacian in $R^{2}$ can be closed