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Carleman Inequalities and Strong Unique Continuation Theorem for the Schrodinger Operator
김연미 弘益大學校 科學技術硏究所 1996 科學技術硏究論文集 Vol.7 No.1
칼레만 부등식을 이용하여 슈레딩거 연산자에 대한 유일성 정리를 증명한다. 이를 위하여 적절한 무게함수를 도입하며, Tomas 의 정리, Sogge 의 정리 등을 이용한다. 본 연산자에 대한 유일성 정리는 연속 스펙트럼에서 고유치의 존재를 제거하는 데 사용될 수 있다.
Strong Unique Continuation of Schrodinger Operator
金姸美 弘益大學校 科學技術硏究所 1992 科學技術硏究論文集 Vol.2 No.-
슈레딩거 연산자 ▽+V, V = ▽W, W ∈ ?? (??)의 유일성 정리를 칼레만 부등식을 이용하여 증명한다. 포텐셜 함수가 균배로 주어지는 경우는 일반적인 소볼레프 부등식에서 나타나는 지수값보다 커지는 잇점이 있다.
金姸美 弘益大學校 科學技術硏究所 1993 科學技術硏究論文集 Vol.3 No.-
We prove the Carleman inequality for the Laplace operator on the Lorenz space and using that show strong unique continuation property holds for the Schr dinger operator when the lower order coefficients belong to the weak Lorenz space. This gives stronger estimate than the usual L?? norm estimates.
김용석 김천대학교 2014 김천대학교 논문집 Vol.35 No.-
Almost all countries in the world experience a scarcity of health care and the need to ration health care services. Each medical system is faced with difficult decisions con- cerning treatment coverage and priorities. Current methods of allocation are based on substantial principles of justice, cost-effectiveness analysis, cost-value analysis, and market mechanisms. Given these methods of allocating health care services, the ques-tion of legitimacy is rightfully raised. The question of legitimacy needs to be approached in an orderly manner. In the first place, the concept of democratic legitimacy needs to be articulated. Secondly, current methods of allocation must be evaluated. Thirdly, a legitimate method of allocation is needed. This article concentrates on the first and the second step. I argue that current methods of allocation should be totally rejected. Each of these methods has an important element that at least contributes to democratic legit-imacy. Based upon the evaluation provided in this article, I introduce a very promising method of allocation health care services, one developed by N. Daniels and J. Sabin.
AN EXTERESION THEOREM FOR THE FOLLAND-STEIN SPACES
Kim, Yonne-Mi Korean Mathematical Society 1995 대한수학회논문집 Vol.10 No.1
This paper is the third of a series in which smoothness properties of function in several variables are discussed. The germ of the whole theory was laid in the works by Folland and Stein [4]. On nilpotent Lie groups, they difined analogues of the classical $L^p$ Sobolev or potential spaces in terms of fractional powers of sub-Laplacian, L and extended several basic theorems from the Euclidean theory of differentaiability to these spaces: interpolation properties, boundedness of singular integrals,..., and imbeding theorems. In this paper we study the analogue to the extension theorem for the Folland-Stein spaces. The analogue to Stein's restriction theorem were studied by M. Mekias [5] and Y.M. Kim [6]. First, we have the space of Bessel potentials on the Heisenberg group introduced by Folland [4].
Inclusion Relations for the Lipschitz Spaces
Kim,Yonne Mi 弘益大學校 科學技術硏究所 1994 科學技術硏究論文集 Vol.4 No.-
립쉬츠 공간 ∧ (p, q, a)의 포함 관계를 a 를 변화시킬 때와 q 를 변화시키는 경우에 살펴본다.