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Displaying 321 – 340 of 1562

Eigenfunctions and Nodal Sets

Shiu-Yuen Cheng (1976)

Commentarii mathematici Helvetici

Eigenfunctions of Laplacian by boundedness conditions in bounded hyperfunctions and distributions.

Dhungana, Bishnu P. (2002)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Eigenfunctions of the laplacian, quantum chaos, and computation

Dennis A. Hejhal (1995)

Journées équations aux dérivées partielles

Eigenmodes of the damped wave equation and small hyperbolic subsets

Gabriel Rivière (2014)

Annales de l’institut Fourier

We study stationary solutions of the damped wave equation on a compact and smooth Riemannian manifold without boundary. In the high frequency limit, we prove that a sequence of $β$ -damped stationary solutions cannot be completely concentrated in small neighborhoods of a small fixed hyperbolic subset made of $β$ -damped trajectories of the geodesic flow.The article also includes an appendix (by S. Nonnenmacher and the author) where we establish the existence of an inverse logarithmic strip without eigenvalues...

Eigenstructure of the equilateral triangle. II: The Neumann problem.

McCartin, Brian J. (2002)

Mathematical Problems in Engineering

Eigenstructure of the equilateral triangle. III: The Robin problem.

McCartin, Brian J. (2004)

International Journal of Mathematics and Mathematical Sciences

Eigenvalue asymptotics for Neumann Laplacian in domains with ultra-thin cusps

Victor Ivrii (1998/1999)

Séminaire Équations aux dérivées partielles

Asymptotics with sharp remainder estimates are recovered for number $N (τ)$ of eigenvalues of the generalized Maxwell problem and for related Laplacians which are similar to Neumann Laplacian. We consider domains with ultra-thin cusps (with $exp (- | x |^{m + 1}$ ) width ; $m > 0$ ) and recover eigenvalue asymptotics with sharp remainder estimates.

Eigenvalue asymptotics for randomly perturbed non-self adjoint operators

Mildred Hager (2007)

Journées Équations aux dérivées partielles

Eigenvalue asymptotics for Schrödinger and Dirac operators with the constant magnetic field and with electric potential decreasing at infinity

Victor Ivrii (1991)

Journées équations aux dérivées partielles

Eigenvalue asymptotics for the Dirac operator in strong constant magnetic fields.

Raikov, G.D. (1999)

Mathematical Physics Electronic Journal [electronic only]

Eigenvalue asymptotics for the Pauli operator in strong nonconstant magnetic fields

Georgi D. Raikov (1999)

Annales de l'institut Fourier

We consider the Pauli operator $H (μ) : = {(\sum_{j = 1}^{m} σ_{j} (- i \frac{\partial}{\partial x_{j}} - μ A_{j}))}^{2} + V$ selfadjoint in $L^{2} (ℝ^{m}; ℂ^{2})$ , $m = 2, 3$ . Here $σ_{j}$ , $j = 1, ..., m$ , are the Pauli matrices, $A : = (A_{1}, ..., A_{m})$ is the magnetic potential, $μ > 0$ is the coupling constant, and $V$ is the electric potential which decays at infinity. We suppose that the magnetic field generated by $A$ satisfies some regularity conditions; in particular, its norm is lower-bounded by a positive constant, and, in the case $m = 3$ , its direction is constant. We investigate the asymptotic behaviour as $μ \to \infty$ of the number of the eigenvalues of $H (μ)$ smaller than...

Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential.

G.D. Raikov (1992)

Inventiones mathematicae

Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian.

Persson, Mikael (2009)

Advances in Mathematical Physics

Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain.

Pushnitski, Alexander, Rozenblum, Grigori (2007)

Documenta Mathematica

Eigenvalue Comparison Theorems and Its Geometric Applications.

Shiu-Yuen Cheng (1975)

Mathematische Zeitschrift

Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations

Johannes Sjöstrand (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

In this work we extend a previous work about the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint differential operators with small multiplicative random perturbations, by treating the case of operators on compact manifolds

Currently displaying 321 – 340 of 1562