## 強擬凹境界をもつケーラーでない複素曲面 (擬凸領域のトポロジーと再生核)

This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces, which are motivated by the non-existence of smooth Levi-flat real hypersurface in the complex projective plane.

This article is concerned with the derivation of numerical reconstruction schemes for the inverse moving source problem on determining source profiles in (time-fractional) evolution equations. As a continuation of the theoretical uniqueness, we adopt a minimization procedure with regularization to construct iterative thresholding schemes for the re...

In this paper, an efficient algorithm for recovering a density of Sturm-Liouville operator from given two spectra is investigated. Based on Lidskii's theorem and Mercer's theorem, we build a sequence of trace formulae which bridge explicitly the density and eigenvalues in terms of nonlinear Fredholm integral equations. Due to intrinsic difficulties...

We consider an inverse problem for stationary Kirschhoff plate equations. It is proved that a single pair of surface data (u, ⊿u) uniquely determine an inclusion where the deflection and bending displacement of a plate vanish.