Issue 1

- A representation formula and its applications to singular integrals by C. P. Calderon, and A. P. Calderon
- Asymptotic expansions of Berezin transforms by Jonathan Arazy, and Bent Orsted
- On the closedness of operator pencils by T. Ya. Azizov, A. Dijksma, K.-H. Forster, and M. Yu Glaskova
- Uniformly hyperbolic surfaces by Alexandre Eremenko, and Mario Bonk
- On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains by Russell M. Brown, Peter A. Perry, and Zhongwei Shen
- Asymptotic $L^1$-decay of solutions of the porous medium equation to self-similarity by J. A. Carrillo, and G. Toscani
- Sharp conditions for 1-dimensional weighted Poincare inequalities by Seng-Kee Chua, and Richard L. Wheeden
- Behavior of positive solutions to $Delta_{g}u = u^{q} + Su$ with prescribed singularities by and David L. Finn
- A spectral mapping theorem and invariant manifolds for nonlinear Schrodinger equations by F. Gesztesy, C. K.R.T. Jones, Y. Latushkin, and M. Stanislavova
- Operators between subspaces and quotients of $L^1$ by G. Godefroy, N. J. Kalton, and D. Li
- Synthesis sets for $H^{\infty} + C$ by Pamela Gorkin, and Raymond Mortini
- Existence of classical solutions to a free boundary problem for the $p$-Laplace operator: (II) the interior convex case by Antoine Henrot, and Henrik Shahgholian
- Nonlinear ground states in irregular domains by Tero Kilpelainen, and Peter Lindqvist
- Removable sets for the Poincare inequality on metric spaces by P. Koskela, N. Shanmugalingam, and H. Tuominen
- Gain of regularity for the KP-II equation by and Julie L. Levandosky
- Lower bound of the number of the Rayleigh resonances for arbitrary body by and Plamen Stefanov

- Asymptotic behavior of multidimensional scalar viscous shock fronts by David Hoff, and Kevin Zumbrun
- Geometric optics with caustic crossing for some nonlinear Schrodinger equations by and Remi Carles
- Discs in Stein manifolds by and Josip Globevnik
- $Q$ spaces of several real variables by Matts Essen, Svante Janson, Lizhong Peng, and Jie Xiao
- Some remarks on lower semicontinuity by Irene Fonseca, and Giovanni Leoni
- Bounded Riemannian submersions by and Kristopher Tapp
- A new approach to Gehring's lemma by M. Mastylo, and M. Milman
- A priori estimates for solutions of fully nonlinear equations with convex level set by Luis A. Caffarelli, and Yu Yuan
- Two-weight, weak-type norm inequalities for fractional integrals, Calderon-Zygmund operators and commutators by D. Cruz-Uribe, and C. Perez
- Diffusive BGK approximations for nonlinear multidimensional parabolic equations by F. Bouchut, F. R. Guarguaglini, and R. Natalini
- Growth of degree for iterates of rational maps in several variables by Araceli M. Bonifant, and John Erik Fornaess
- Symmetric solutions for the prescribed scalar curvature problem by Zhi-Qiang Wang, and Florin Catrina
- Regularity of Hamilton-Jacobi equations when forward is backward: erratum by E. N. Barron, P. Cannarsa, R. Jensen, and C. Sinestrari

- Canonical factorization in subalgebras of $H^{infty}$ associated with Douglas algebras by and Konstantin M. Dyakonov
- A note on cyclic gradients by and Dan Voiculescu
- The global attractor and finite determining modes for the Navier-Stokes equations of compressible flow with singular initial data by David Hoff, and Mohammed Ziane
- On mixed problems for extremal decompositions by and James A. Jenkins
- Uniqueness of ground states for quasilinear elliptic equations by James Serrin, and Moxun Tang
- Second-order self-similar identities and multifractal decompositions by Ka-Sing Lau, and Sze-Man Ngai
- Bergman spaces with small exponents by and David Bekolle
- Analytic properties of locally quasisymmetric mappings from Euclidean domains by and Jeremy T. Tyson
- Some sharp isoperimetric theorems for Riemannian manifolds by Frank Morgan, and David L. Johnson
- Hamilton-Jacobi-Bellman equations with fast gradient-dependence by F. Rampazzo, and C. Sartori
- Stability analysis of multipulses in nonlinearly-coupled Schrodinger equations by and A. C. Yew
- Hypersurfaces of prescribed curvature in Lorentzian manifolds by and Claus Gerhardt
- Frechet derivatives of the power function by Rajendra Bhatia, and John A. Holbrook
- Diffusion limit for non homogeneous and non-micro-reversible processes by P. Degond, T. Goudon, and F. Poupaud
- Local and global interaction for nongenuinely nonlinear hyperbolic conservation laws by and I-Liang Chern
- Interpolation of compact operators by the complex method and equicontinuity by and Tomas Schonbek

- Badly approximable matrix functions and cononical factorizations by R. B. Alexeev, and V. V. Peller
- Fingering in a Hele-Shaw cell as an obstacle-like problem by D. Andreucci, G. Caruso, and E. DiBenedetto
- Finite-time blow-up of solutions of some long-wave unstable thin film equations by A. L. Bertozzi, and M. C. Pugh
- 3D-2D asymptotic analysis for inhomogeneous thin films by A. Braides, I. Fonseca, and G. Francfort
- Matrix-valued corona theorem for multiply connected domains by and Alexander Brudnyi
- Supersonic flow past a symmetrically curved cone by Shuxing Chen, and Dening Li
- Cartesian form of Putnam's inequality for doubly commuting hyponormal $n$-tuples by M. Cho, R. E. Curto, T. Huruya, and W. Zelazko
- Diameters of spherical Alexandrov spaces and curvature one orbifolds by and Sarah J. Greenwald
- Best approximation in the mean by analytic and harmonic functions by Dmitry Khavinson, John E. McCarthy, and Harold S. Shapiro
- $L^1$ stability of patterns of non-interacting large shock waves by and Marta Lewicka
- Potential flow for the compressible viscous fluid and its incompressible limit by and Chi-Kun Lin
- Remark on the analytic smoothing for the Schrodinger equation by Y. Morimoto, L. Robbiano, and C. Zuily
- Uniqueness theorems for Willmore surfaces with fixed and free boundaries by and Bennett Palmer
- Existence of $L^q$ dimensions and entropy dimension for self-conformal measures by Yuval Peres, and Boris Solomyak
- High frequency asymptotics for 2D viscous shocks by and Anders Szepessy
- BV solutions for a class of viscous hyperbolic systems by Stefano Bianchini, and Alberto Bressan