Michael Levitin et al 2006 J. Phys. A: Math. Gen. 39 2073 doi:10.1088/0305-4470/39/9/006
Michael Levitin1, Leonid Parnovski2 and Iosif Polterovich3
Show affiliationsWe 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.
02.60.Lj Ordinary and partial differential equations; boundary value problems
65N35 Spectral, collocation and related methods
Issue 9 (3 March 2006)
Received 25 October 2005, in final form 23 January 2006
Published 15 February 2006
Michael Levitin et al 2006 J. Phys. A: Math. Gen. 39 2073
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