Isospectral domains with mixed boundary conditions

Michael Levitin; Leonid Parnovski; Iosif Polterovich

doi:10.1088/0305-4470/39/9/006

Isospectral domains with mixed boundary conditions

Michael Levitin, Leonid Parnovski, Iosif Polterovich

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We construct a series of examples of planar isospectral domains with mixed Dirichlet-Neumann boundary conditions. This is a modification of a classical problem proposed by M Kac. © 2006 IOP Publishing Ltd.

Original language	English
Pages (from-to)	2073-2082
Number of pages	10
Journal	Journal of Physics A: Mathematical and General
Volume	39
Issue number	9
DOIs	https://doi.org/10.1088/0305-4470/39/9/006
Publication status	Published - 3 Mar 2006

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title = "Isospectral domains with mixed boundary conditions",

abstract = "We construct a series of examples of planar isospectral domains with mixed Dirichlet-Neumann boundary conditions. This is a modification of a classical problem proposed by M Kac. {\textcopyright} 2006 IOP Publishing Ltd.",

author = "Michael Levitin and Leonid Parnovski and Iosif Polterovich",

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AU - Levitin, Michael

AU - Parnovski, Leonid

AU - Polterovich, Iosif

PY - 2006/3/3

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N2 - We construct a series of examples of planar isospectral domains with mixed Dirichlet-Neumann boundary conditions. This is a modification of a classical problem proposed by M Kac. © 2006 IOP Publishing Ltd.

AB - We construct a series of examples of planar isospectral domains with mixed Dirichlet-Neumann boundary conditions. This is a modification of a classical problem proposed by M Kac. © 2006 IOP Publishing Ltd.

UR - https://www.scopus.com/pages/publications/32944464532

U2 - 10.1088/0305-4470/39/9/006

DO - 10.1088/0305-4470/39/9/006

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VL - 39

SP - 2073

EP - 2082

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 9

ER -

Isospectral domains with mixed boundary conditions

Abstract

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