Exponential Decay of Eigenfunctions and Generalized Eigenfunctions of a Non Self-adjoint Matrix Schrödinger Operator Related to Nls
نویسندگان
چکیده
We study the decay of eigenfunctions of the non self-adjoint matrix operator H = ( −∆+μ+U W −W ∆−μ−U ) , for μ > 0, corresponding to eigenvalues in the strip −μ < ReE < μ.
منابع مشابه
On Generalization of Sturm-Liouville Theory for Fractional Bessel Operator
In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions...
متن کاملInverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
In this manuscript, we consider the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. We prove by defining a new Hilbert space and using spectral data of a kind, the potential function can be uniquely determined by a set of value of eigenfunctions at an interior point and p...
متن کاملA Dispersive Bound for Three-dimensional Schrödinger Operators with Zero Energy Eigenvalues
We prove a dispersive estimate for the evolution of Schrödinger operators H = −∆ + V (x) in R3. The potential is allowed to be a complex-valued function belonging to Lp(R3) ∩ Lq(R3), p < 3 2 < q, so that H need not be self-adjoint or even symmetric. Some additional spectral conditions are imposed, namely that no resonances of H exist anywhere within the interval [0,∞) and that eigenfunctions at...
متن کاملInverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions
In this manuscript, we study the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. By defining a new Hilbert space and using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at som...
متن کاملComplete eigenfunctions of linearized integrable equations expanded around a soliton solution
Complete eigenfunctions for an integrable equation linearized around a soliton solution are the key to the development of a direct soliton perturbation theory. In this article, we explicitly construct such eigenfunctions for a large class of integrable equations including the KdV, NLS and mKdV hierarchies. We establish the striking result that the linearization operators of all equations in the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005