On the Placement of an Obstacle or a Well so as to Optimize the Fundamental Eigenvalue
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چکیده
منابع مشابه
On the Placement of an Obstacle or a Well so as to Optimize the Fundamental Eigenvalue Evans M. Harrell II
We investigate how to place an obstacle B within a domain in Euclidean space so as to maximize or minimize the principal Dirichlet eigenvalue for the Laplacian on nB. The shape of B is xed a priori (usually as a ball), and only its position varies. We establish that for a certain class of domains the minimizing B is in contact with @ , while the maximizing B is in the interior, typically at the...
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 33 شماره
صفحات -
تاریخ انتشار 2001