Uniqueness of a scattering problem with L2 boundary values
نویسندگان
چکیده
منابع مشابه
Existence and uniqueness of solutions for a periodic boundary value problem
In this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in Banach spaces admitting the existence of a lower solution.
متن کاملUniqueness of the Inverse Conductive Scattering Problem
1 . I N T R O D U C T I O N During the last two decades or so, inverse scattering problems for the Helmholtz equation have enjoyed a remarkable degree of popularity, both in pure and applied contexts (see the monograph [1] and the references therein). One of the most important theoretical considerations in inverse scattering problems is uniqueness. Different approaches have been proposed [2-10]...
متن کاملExistence and Uniqueness of Solutions for a Fractional Boundary Value Problem with Dirichlet Boundary Condition
The authors consider a nonlinear fractional boundary value problem with the Dirichlet boundary condition. An associated Green’s function is constructed as a series of functions by applying spectral theory. Criteria for the existence and uniqueness of solutions are obtained based on it.
متن کاملUniqueness theorem for inverse scattering problem with non-overdetermined data
Let q(x) be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data A(−β, β, k) ∀β ∈ S, ∀k > 0 determine q uniquely. MSC: 35P25, 35R30, 81Q05; PACS: 03.65.Nk
متن کاملexistence and uniqueness of solutions for a periodic boundary value problem
in this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in banach spaces admitting the existence of a lower solution.
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: Computers & Mathematics with Applications
سال: 2005
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2005.05.007