In this paper,a class of inverse boundary value problems for(λ,1)bi-analytic functions is given.Using the method of Riemann boundary value problem for analytic functions,the conditions of solvability and the expressi...In this paper,a class of inverse boundary value problems for(λ,1)bi-analytic functions is given.Using the method of Riemann boundary value problem for analytic functions,the conditions of solvability and the expression of the solutions for the inverse problems are obtained.展开更多
In this article, Haseman boundary value problem for a class of meta-analytic functions is studied. The expression of solution and the condition of solvability for Haseman boundary value problem are obtained by changin...In this article, Haseman boundary value problem for a class of meta-analytic functions is studied. The expression of solution and the condition of solvability for Haseman boundary value problem are obtained by changing the problem discussed into the equivalent Haseman boundary value problem of bi-analytic function. And the expression of solution and the condition of solvability depend on the canonical matrix.展开更多
Integrating surface enhanced Raman scattering (SERS) with microfluidics is the long-term goal for reduced volume,multiplex and automation fingerprint detection of biomolecules.High sensitivity,repeatability,stability,...Integrating surface enhanced Raman scattering (SERS) with microfluidics is the long-term goal for reduced volume,multiplex and automation fingerprint detection of biomolecules.High sensitivity,repeatability,stability,reusability and real-time detection are the performance goals of Raman detection in the aqueous solution environment.Here,we reported the study on cavity mode enhanced SERS detection of both surface-adsorbed molecules and non-surface-adsorbed molecules in the solution environment.The cavity modes had important influence on the SERS enhancement,especially for the non-surface adsorbed molecules.Uniform,repeatable,reusable and real-time Raman signal detection of the non-surface adsorbed Rhodamine 6G molecules was demonstrated.Our work is an important step for the practical on-chip microfluidic Raman detection applications.展开更多
基金Supported by the Natural Science Foundation of Fujian Province(2020J01322)
文摘In this paper,a class of inverse boundary value problems for(λ,1)bi-analytic functions is given.Using the method of Riemann boundary value problem for analytic functions,the conditions of solvability and the expression of the solutions for the inverse problems are obtained.
基金supported by Tianyuan Fund of Mathematics (10626039)NNSF of China (10871150)RFDP of Higher Eduction of China (20060486001)
文摘In this article, Haseman boundary value problem for a class of meta-analytic functions is studied. The expression of solution and the condition of solvability for Haseman boundary value problem are obtained by changing the problem discussed into the equivalent Haseman boundary value problem of bi-analytic function. And the expression of solution and the condition of solvability depend on the canonical matrix.
基金supported by the Ministry of Science and Technology of China (No.2017YFA0205800)the National Natural Science Foundation of China (Nos.11404247 and 11674256).
文摘Integrating surface enhanced Raman scattering (SERS) with microfluidics is the long-term goal for reduced volume,multiplex and automation fingerprint detection of biomolecules.High sensitivity,repeatability,stability,reusability and real-time detection are the performance goals of Raman detection in the aqueous solution environment.Here,we reported the study on cavity mode enhanced SERS detection of both surface-adsorbed molecules and non-surface-adsorbed molecules in the solution environment.The cavity modes had important influence on the SERS enhancement,especially for the non-surface adsorbed molecules.Uniform,repeatable,reusable and real-time Raman signal detection of the non-surface adsorbed Rhodamine 6G molecules was demonstrated.Our work is an important step for the practical on-chip microfluidic Raman detection applications.
