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Windows of given area with minimal heat diffusion |
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| Authors: | Jochen Denzler |
| Institution: | Mathematisches Institut, Ludwig--Maximilians--Universität, Theresienstraße 39, D--80333 München, Germany |
| Abstract: | For a bounded Lipschitz domain  , we show the existence of a measurable set  of given area such that the first eigenvalue of the Laplacian with Dirichlet conditions on  and Neumann conditions on  becomes minimal. If  is a ball,  will be a spherical cap. |
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