Karp's Theorem in Inverse Obstacle Scattering Problems
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2019, Vol 17, Issue 0
Abstract
In this work, we provide a proof of the so-called Karp's theorem in a different approach. We use the unique continuation principle together with the monotonicity of eigenvalues for the negative Laplace operator. This method is new and would be applicable to other types of inverse scattering problems.
Authors and Affiliations
Jaemin Shin
Keywords
Related Articles
- EP ID EP651801
- DOI 10.24297/jam.v17i0.8399
- Views 161
- Downloads 0
INVERSE HEAT CONDUCTION PROBLEM IN A SOLID SPHERE AND ITS THERMAL STRESSES
This paper discusses the solution of an inverse heat conduction problem of one dimensional temperature distribution and stress field for a solid sphere. The sphere is subjected to arbitrary temperature within it under un...
The Reproducing Kernel Hilbert Space Method for Solving System of Linear Weakly Singular Volterra Integral Equations
The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find. The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find th...
Spectral Continiuty : (p, k) - Quasihyponormal and Totally p-(a,b) normal operators
An operator T B(H) is said to be P- normal operators for . In this paper, we prove that continuity of the set theoretic functions spectrum, Weyl spectrum, Browder spectrum and essential surjec...
Uniqueness of Solutionfor Nonlinear Implicit Fractional Differential Equation
We study the uniquenessof solutionfor nonlinear implicit fractional differential equation with initial condition involving Caputo fractional derivative. The technique used in our analysis is based on an application of Bi...
Traveling solitary wave solutions for the symmetric regularized long-wave equation
In this paper, we employ the extended tanh function method to nd the exact traveling wave solutions involving parameters of the symmetric regularized long- wave equation. When these parameters are taken to be s...