## Table of contents

Complex analysis/Analytic geometry

Algebraic approximation of analytic subsets of ${\mathbb{C}}^{q}\times \{0\}$ in ${\mathbb{C}}^{q+1}$
Partial differential equations/Mathematical problems in mechanics

Reconstruction of extended sources with small supports in the elliptic equation $\mathrm{\Delta}u+\mu u=F$ from a single Cauchy data
Partial differential equations/Calculus of variations

Nucleation and backward motion of discrete interfaces
Harmonic analysis/Functional analysis

Marcinkiewicz r-classes and Fourier series expansions of operator ergodic Stieltjes convolutions
Mathematical problems in mechanics

Greenʼs formulas with little regularity on a surface – Application to Donati-like compatibility conditions on a surface