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Windows of given area with minimal heat diffusion
Author(s):
Jochen
Denzler
Journal:
Trans. Amer. Math. Soc.
351
(1999),
569-580.
MSC (1991):
Primary 49J40;
Secondary 49J10, 35J20, 35R05
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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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Additional Information:
Jochen
Denzler
Affiliation:
Mathematisches Institut, Ludwig--Maximilians--Universität, Theresienstraße 39, D--80333 München, Germany
Address at time of publication:
Zentrum Mathematik, Technische Universität, Arcisstrasse 21, D-80290 München, Germany
Email:
denzler@mathematik.tu-muenchen.de
DOI:
10.1090/S0002-9947-99-02207-2
PII:
S 0002-9947(99)02207-2
Received by editor(s):
November 16, 1996
Copyright of article:
Copyright
1999,
American Mathematical Society
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