Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 3 of 3 for “"Dirichlet eigenvalues"”.
-
Spectral problems on triangles and disks: Extremizers and ground states
… of unity in the sense that we are looking at the eigenvalues (energy levels) of the operator. In the first case, with no magnetic field, we can say a lot about how the eigenvalues depend on the shape of the triangular domain. On the other hand, in the second case, with magnetic fi eld, it is much …
-
Sound field reproduction
… operating frequency corresponds to one of the Dirichlet eigenvalues of the control region.<br/>An important analogy is also drawn between the problem of sound field reproduction and the theory of acoustic scattering. In a later part of this work, the assumptions of a continuous layer of …
-
Asymptotically optimal shapes for counting lattice points and eigenvalues
… case p = 2 corresponds to minimization of high eigenvalues of the Dirichlet Laplacian on rectangles, and so our work generalizes a result of Antunes and Freitas. Similarly, we generalize a Neumann eigenvalue maximization result of van den Berg, Bucur and Gittins. Further, Ariturk and Laugesen …