Spectral problems with mixed Dirichlet-Neumann boundary conditions: Isospectrality and beyond

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:194

Article

Jakobson, Dmitry ; Levitin, Michael ; Nadirashvili, Nikolai ; Polterovich, Losif

关键词: Laplacian;    mixed Dirichiet-Neumann problem;    Zaremba problem;    isospectrality;   

DOI  :  10.1016/j.cam.2005.06.019

来源: Elsevier

【 摘 要 】

Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely which condition is imposed on which part? We present some results, conjectures and problems related to this variation on the isospectral theme. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free