In this paper we present a correction of the proofofa strong uniqueness theorem given by H.Strauss in 1992 on approximation by reciprocals of functions of an n-dimensional space span (u_1,…,u_n) satisfying coefficien...In this paper we present a correction of the proofofa strong uniqueness theorem given by H.Strauss in 1992 on approximation by reciprocals of functions of an n-dimensional space span (u_1,…,u_n) satisfying coefficient constraints.展开更多
In this paper we present a correction of the proof of u strong uniqueness theorem given by H. Struuss [1] in 1992 on approximation by reciprocals of functions uf an n-dimensional space (u,…un) satisfying coefficient ...In this paper we present a correction of the proof of u strong uniqueness theorem given by H. Struuss [1] in 1992 on approximation by reciprocals of functions uf an n-dimensional space (u,…un) satisfying coefficient constraints.展开更多
In this paper we prove the strong unique continuation property for a class of fourth order elliptic equations involving strongly singular potentials.Our argument is to establish some Hardy-Rellich type inequalities wi...In this paper we prove the strong unique continuation property for a class of fourth order elliptic equations involving strongly singular potentials.Our argument is to establish some Hardy-Rellich type inequalities with boundary terms and introduce an Almgren’s type frequency function to show some doubling conditions for the solutions to the above-mentioned equations.展开更多
The concept of an RS–set in a complex Banach space is introduced and theproblem of best approximation from an RS–set in a complex space is investigated. Results consistingof characterizations, uniqueness and strong ...The concept of an RS–set in a complex Banach space is introduced and theproblem of best approximation from an RS–set in a complex space is investigated. Results consistingof characterizations, uniqueness and strong uniqueness are established.展开更多
文摘In this paper we present a correction of the proofofa strong uniqueness theorem given by H.Strauss in 1992 on approximation by reciprocals of functions of an n-dimensional space span (u_1,…,u_n) satisfying coefficient constraints.
文摘In this paper we present a correction of the proof of u strong uniqueness theorem given by H. Struuss [1] in 1992 on approximation by reciprocals of functions uf an n-dimensional space (u,…un) satisfying coefficient constraints.
基金supported by National Natural Science Foundation of China(Grant No.11401310)supported by National Natural Science Foundation of China(Grant No.11531005).
文摘In this paper we prove the strong unique continuation property for a class of fourth order elliptic equations involving strongly singular potentials.Our argument is to establish some Hardy-Rellich type inequalities with boundary terms and introduce an Almgren’s type frequency function to show some doubling conditions for the solutions to the above-mentioned equations.
基金Supported in part by the National Natural Science Foundation of China(Grant No.10271025) 41A29,41A50
文摘The concept of an RS–set in a complex Banach space is introduced and theproblem of best approximation from an RS–set in a complex space is investigated. Results consistingof characterizations, uniqueness and strong uniqueness are established.
