Issue no. 1 Table of Contents

On the Schauder estimates of solutions to parabolic equations
Unique continuation in abstract pseudoconcave CR manifolds
Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in ℝ N
Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization
The class of holomorphic functions representable by Carleman formula
On Liouville theorem and apriori estimates for the scalar curvature equations
Commuting holomorphic maps in strongly convex domains
Gradient flow for the one-dimensional Mumford-Shah functional

Issue no. 2 Table of Contents

Trace inequalities for Carnot-Carathéodory spaces and applications
Viscosity solutions and regularity of the free boundary for the limit of an elliptic two phase singular perturbation problem
Realizing vector fields without loss of derivatives
Integration of Monge-Ampère equations and surfaces with negative gaussian curvature
Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium

Issue no. 3-4 Table of Contents

Birational canonical transformations and classical solutions of the sixth Painlevé equation
A Floquet-Liapunov theorem in Fréchet spaces
On one-sided BMO and Lipschitz functions
Analyticity of thermo-elastic semigroups with free boundary conditions
On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations
On products of non-commuting sectorial operators
The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces