Titlebook: Spectral and Scattering Theory; Alexander G. Ramm Book 1998 Springer Science+Business Media New York 1998 Eigenvalue.Potential.calculus.me

容易生皱纹

GLARE

Spectral Operators Generated by 3-Dimensional Damped Wave Equation and Applications to Control Theos: (i) asymptotic representations for the complex eigenvalues and eigenfunctions, and (ii) the fact that the systems of eigenvectors and associated vectors form Riesz bases in the energy space. We also present an explicit solution of the controllability problem for the distributed parameter systems

新鲜

Extort

伟大

断言

Wave Scattering in 1-D Nonconservative Media,lyzed. Unless .(.) ≤ 0, it is shown that there may be bound states at complex energies, degenerate bound states, and singularities of the transmission coefficient for real .. Some illustrative examples are provided.

修饰

ROOF

Pituitary-Gland

PAGAN

,On Embedded Eigenvalues of Perturbed Periodic Schrödinger Operators,turbed by a sufficiently fast decaying “impurity” potentials. Absence of embedded eigenvalues is shown in dimensions two and three if the periodic potential satisfies some additional condition on the corresponding Fermi surface. It is conjectured that generic periodic potentials satisfy this conditi