论文信息 - On Polygonal Domains with Trigonometric Eigenfunctions of the Laplacian under Dirichlet or Neumann Boundary Conditions

On Polygonal Domains with Trigonometric Eigenfunctions of the Laplacian under Dirichlet or Neumann Boundary Conditions

A classification of all polygonal domains possessing a complete set of trigonometric eigenfunctions of the Laplacian under either Dirichlet or Neumann boundary conditions is developed. Polygonal domains which possess a partial set of trigonometric eigenfunctions are also completely characterized. Consideration is also given to the case of a mixture of Dirichlet and Neumann boundary conditions. Mathematics Subject Classification: 35C05, 35J05, 35P05

M BrianJ. | Cartin | M. BrianJ.

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