Resonances for Euler–Bernoulli operator on the half-line
نویسندگان
چکیده
منابع مشابه
O ct 2 00 7 Resonances for Schrödinger operator with periodic plus compactly supported potentials on the half - line Evgeny
We consider the Schrödinger operator H = − d dx2 + p + q in L(R+), where the potential p is real 1-periodic and the potential q is real compactly supported. We prove the following results: 1) a forbidden domain for the resonances is specified, 2) the distribution of resonances in the disk with radius r → ∞ is determined, 3) the asymptotics of resonances and eigenvalues in the gap are determined...
متن کاملOn the Half-line
We study uniform error estimates of operational quadrature methods for nonlinear convolution equations on the half-line. Equations of this kind arise in control engineering and diffusion problems. The essential ingredients are the stability of the operational quadrature method in an L setting, which is inherited from the continuous equation by its very construction, and a theorem that says that...
متن کاملExistence of solutions for a variational inequality on the half-line
In this paper we study the existence of nontrivial solutions for a variational inequality on the half-line. Our approach is based on the non-smooth critical point theory for Szulkin-type functionals.
متن کاملThe Schrödinger Operator with Morse Potential on the Right Half Line
This paper studies the Schrödinger operator with Morse potential Vk(u) = 1 4e 2u + keu on a right half-line [u0,∞), and determines the Weyl asymptotics of eigenvalues for constant boundary conditions at the endpoint u0. In consequence it obtains information on the location of zeros of the Whittaker function Wκ,μ(x), for fixed real parameters κ, x with x > 0, viewed as an entire function in the ...
متن کاملSchrödinger Operator with Periodic plus Compactly Supported Potentials on the Half-line
We consider the Schrödinger operator H with a periodic potential p plus a compactly supported potential q on the half-line. We prove the following results: 1) a forbidden domain for the resonances is specified, 2) asymptotics of the resonance-counting function is determined, 3) in each nondegenerate gap γn for n large enough there is exactly an eigenvalue or an antibound state, 4) the asymptoti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2017
ISSN: 0022-0396
DOI: 10.1016/j.jde.2017.02.041