Sommaire du Fascicule no. 1

Linear independence of linear forms in polylogarithms
p. 1-11
Approximation of holomorphic functions in Banach spaces admitting a Schauder decomposition
p. 13-19
Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree
p. 21-37
A criterion for virtual global generation
p. 39-53
Second order parabolic equations and weak uniqueness of diffusions with discontinuous coefficients
p. 55-76
The motion of a fluid in an open channel
p. 77-105
Uniqueness for unbounded solutions to stationary viscous Hamilton-Jacobi equations
p. 107-136

Sommaire du Fascicule no. 2

Multivariate moment problems : geometry and indeterminateness
p. 137-157
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres
p. 159-170
On naturally reductive left-invariant metrics of SL (2,ℝ)
p. 171-187
Unique continuation from Cauchy data in unknown non-smooth domains
p. 189-218
Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem
p. 219-259
Convexity estimates for flows by powers of the mean curvature
p. 261-277

Sommaire du Fascicule no. 3

On non-overdetermined inverse scattering at zero energy in three dimensions
p. 279-328
On the arithmetic properties of complex values of Hecke-Mahler series. I. The rank one case
p. 329-374
Refined Hardy inequalities
p. 375-391
On isometries of the carathéodory and Kobayashi metrics on strongly pseudoconvex domains
p. 393-417
On the space of morphisms into generic real algebraic varieties
p. 419-438

Sommaire du Fascicule no. 4

A simple proof of the propagation of singularities for solutions of Hamilton-Jacobi equations
p. 439-444
Bounds for double zeta-functions
p. 445-464
The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable
p. 465-482
The BV-energy of maps into a manifold : relaxation and density results
p. 483-548
Simultaneous unitarizability of SL n ℂ-valued maps, and constant mean curvature k-noid monodromy
p. 549-577
Dirichlet problem with L p -boundary data in contractible domains of Carnot groups
p. 579-610
Doubling constant mean curvature tori in S 3
p. 611-638
Editorial note : “Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres”
p. 639