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The generalized Neumann-Poincaré operator and its spectrum [Book]

Partyka Dariusz (1997)

The integral equation methods for the perturbed Helmholtz eigenvalue problems.

Khelifi, Abdessatar (2005)

International Journal of Mathematics and Mathematical Sciences

The smallest positive eigenvalue of a quasisymmetric automorphism of the unit circle

Dariusz Partyka (1995)

Banach Center Publications

This paper provides sufficient conditions on a quasisymmetric automorphism γ of the unit circle which guarantee the existence of the smallest positive eigenvalue of γ. They are expressed by means of a regular quasiconformal Teichmüller self-mapping φ of the unit disc Δ. In particular, the norm of the generalized harmonic conjugation operator $A_{γ} : ℍ \to ℍ$ is determined by the maximal dilatation of φ. A characterization of all eigenvalues of a quasisymmetric automorphism γ in terms of the smallest positive eigenvalue...

The spectrum of the transport operator with a potential term under the spatial periodicity condition

Minoru Tabata, Nobuoki Eshima (1997)

Rendiconti del Seminario Matematico della Università di Padova

Displaying 1 – 4 of 4

The generalized Neumann-Poincaré operator and its spectrum [Book]

The integral equation methods for the perturbed Helmholtz eigenvalue problems.

The smallest positive eigenvalue of a quasisymmetric automorphism of the unit circle

The spectrum of the transport operator with a potential term under the spatial periodicity condition

Currently displaying 1 – 4 of 4