The Nodal Surface of the Second Eigenfunction of the Laplacian in RD Can Be Closed
- Fournais, Søren
Publication date
June 2001
DOI Publisher
Academic Press. ISSN
0022-0396 Citation count (estimate)
11Abstract
AbstractWe construct a set in RD with the property that the nodal surface of the second eigenfunction of the Dirichlet Laplacian is closed, i.e. does not touch the boundary of the domain. The construction is explicit in all dimensions D⩾2 and we obtain explicit control of the connectivity of the domain
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