Issue 1

- An appreciation of Ciprian Foias and Roger Temam by and M. S. Jolly
- 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity by Anatoli Babin, Alex Mahalov, and Basil Nicolaenko
- Numerical criterion for the stabilization of steady states of the Navier-Stokes equations by Chongsheng Cao, Ioannis G. Kevrekidis, and Edriss S. Titi
- On the critical dissipative quasi-geostrophic equation by Peter Constantin, Diego Cordoba, and Jiahong Wu
- Critical thresholds in Euler-Poisson equations by Shlomo Engelberg, Hailiang Liu, and Eitan Tadmor
- Structural bifurcation of 2-D incompressible flows by Michael Ghil, Tian Ma, and Shouhong Wang
- On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line by Ben-Yu Guo, and Jie Shen
- Space-time decay for solutions of the Navier-Stokes equations by and Igor Kukavica
- A Kato type theorem on zero viscosity limit of Navier-Stokes flows by and Xiaoming Wang
- Divisors and Euler sparks of atomic sections by F. Reese Harvey, and John Zweck
- Asymptotics for the spectrum of the Dirichlet laplacian on horn-shaped regions by M. Van Den Berg, and M. Lianantonakis
- Regularity of the pluricomplex Green function with several poles by and Zbigniew Blocki
- Unicite forte pour le produit de deux operateurs d'ordre 2 by and Philippe Le Borgne
- Inverse volume inequalities for matrix weights by and Marcin Bownik
- Liquid bridges, edge blobs, and Scherk-type capillary surfaces by Paul Concus, Robert Finn, and John McCuan
- Large stable pulse solutions in reaction-diffusion equations by Arjen Doelman, Robert A. Gardner, and Tasso J. Kaper
- Singular integral system approach to regularity of 3D vortex patches by and Chaocheng Huang
- Linked-solenoid mappings and the non-transversality locus invariant by John H. Hubbard, and Ralph W. Oberste-Vorth
- A singular limit for hyperbolic-elliptic coupled systems in radiation hydrodynamics by Shuichi Kawashima, and Shinya Nishibata
- Life span of solutions with large initial data in a semilinear parabolic equation by Eiji Yanagida, and Noriko Mizoguchi
- On the extinction profile for solutions of $u_t=\Delta u^{(N-2)/(N+2)} by Manuel del Pino, and Mariel Saez
- Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions by Fernando Quiros, and Julio D. Rossi
- Sharpness results for $L^2$-smoothing of oscillatory integrals by and Bjorn Gabriel Walther
- Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions by and Ahmed Zeriahi

- Another look at some index theorems for the shift by and John R. Akeroyd
- Pseudoharmonic maps from nondegenerate CR manifolds to Riemannian manifolds by Elisabetta Barletta, Sorin Dragomir, and Hajime Urakawa
- Univalent solutions of an elliptic system of partial differential equations arising in homogenization by Patricia Bauman, Antonella Marini, and Vincenzo Nesi
- Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations by J. L. Bona, and F. B. Weissler
- Volume-preserving anisotropic mean curvature flow by and Ben Andrews
- On the closure of polynomials in weighted spaces of functions on the real line by and Alexander Borichev
- A Plateau problem at infinity for properly immersed minimal surfaces with finite total curvature by Claudio P. Cosin, and Antonio Ros
- Dynamique des applications rationnelles des espaces multiprojectifs by Charles Favre, and Vincent Guedj
- Classification of quadratic polynomial automorphisms of $\mathbb{C}^3$ from a dynamical point of view by and Kazutoshi Maegawa
- Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems by James Mingo, and Alexandru Nica
- On hypersurfaces embedded in euclidean space with positive constant $H_r$ curvature by Barbara Nelli, and Beate Semmler
- Boundedness of Littlewood-Paley $g$-functions of higher order associated with the Ornstein-Uhlenbeck semigroup by and Sonsoles Perez
- Singular integrals with nonhomogeneous oscillatory kernels by and Bassam Shayya
- Isomorphisms of $l_p$ group algebras by and Geoffrey V. Wood
- Inequalities for harmonic functions on spheroids and their applications by and V. Zahariuta

- Sharp results for the regularity and stability of the free boundary in the obstacle problem by and Ivan Blank
- On the rate of convergence in homogenization of Hamilton-Jacobi equations by I. Capuzzo-Dolcetta, and I. Ishii
- Algebraic isomorphisms and spectra of triangular limit algebras by Allan P. Donsig, David R. Pitts, and S. C. Power
- Carleman inequalities and the heat operator II by Luis Escauriaza, and Luis Vega
- Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations by and Mikhail Feldman
- Nonlinear parabolic problems with critical growth and unbounded data by Vincenzo Ferone, Maria Rosasia Posteraro, and Jean Michel Rakotoson
- Cohomology and the operator space structure of the Fourier algebra and its second dual by Brian Forrest, and Peter Wood
- Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces by Jose Garcia-Cuerva, and Jose Maria-Martell
- Upper semicontinuous attractor for a hyperbolic phase-field model with memory by Maurizio Grasselli, and Vittorino Pata
- The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations by and Zoran Grujic
- Weak solutions to the Lifshitz-Slyozov-Wagner equation by and Philippe Laurencot
- Positive solutions of elliptic boundary value problems without (P.S.) type assumption by Zhaoli Liu, Shujie Li, and Zhi-Qiang Wang
- The Morse-Sard theorem in Sobolev spaces by and Luigi de Pascale
- Translation invariant subspaces of weighted Hilbert spaces on the real line by and Thomas Vils Pedersen
- Morse indices and bifurcations of positive solutions of $\Delta u + f(u) = 0$ on $\mathbb{R}^N$ by and Peter Polacik
- Indicators for plurisubharmonic functions of logarithmic growth by and Alexander Rashkovskii
- Hardy space estimates for higher order differential operators by and Pawel Strzelecki
- Meromorphic continuation of the scattering matrix in the Stark effect case by and Denis A. W. White

- Schur multipliers and operator-valued Foguel-Hankel operators by C. Badea, and V. I. Paulsen
- Commutation properties of semigroups for first-order Hamilton-Jacobi equations and application to multi-time equations by Guy Barles, and Agnes Tourin
- On families of polynomials which approximate the pluricomplex Green function by and Thomas Bloom
- Best constants for Moser-Trudinger inequalities on the Heisenberg group by William S. Cohn, and Guozhen Lu
- Pseudolocal estimates for $\bar{\partial}$ on general pseudoconvex domains by and Miroslav Englis
- A free boundary problem associated with crystallization of polymers in a temperature field by Avner Friedman, and Juan J.L. Velazquez
- A harmonic analysis theorem and applications to homogenization by Cristian E. Gutierrez, and Ireneo Peral
- Lacunary matrices by Asma Harcharras, Stefan Neuwirth, and Krzysztof Oleszkiewicz
- Two-ended hypersurfaces with zero scalar curvature Vol. 48 (1999), 867-882: addendum by Jorge Hounie, and Maria Luiza Leite
- Norms of inner derivations of limit algebras by Timothy D. Hudson, and D. W.B. Somerset
- Plurisubharmonic extremal functions, Lelong numbers and coherent ideal sheaves Vol. 48 (1999), 1513-1534: erratum by Finnur Larusson, and Ragnar Sigurdsson
- Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws by Philippe G. LeFloch, and Christian Rohde
- The Cauchy problem for dissipative Korteweg de Vries equations in Sobolev spaces of negative order by Luc Molinet, and Francis Ribaud
- Normal holonomy in Lorentzian space and submanifold geometry by Carlos Olmos, and Adrian Will
- Properties of exposed points in the unit ball of $H^1$ by and Alexei G. Poltoratski
- Ginzburg-Landau minimizers from $\mathbb{R}^{n+1}$ to $\mathbb{R}^n$ and minimal connections by and Etienne Sandier
- $L^q$ densities for measures associated with parabolic IFS with overlaps by Boris Solomyak, and Mariusz Urbanski
- On loops representing elements of the fundamental group of a complete manifold with nonnegative Ricci curvature by and Christina Sormani
- Isolated singularities of nonlinear elliptic inequalities by and Steven D. Taliaferro
- Global solvability for a class of quasilinear parabolic problems by Alkis Tersenov, and Aris Tersenov
- A Liouville type theorem for some critical semilinear elliptic equations on noncompact manifolds by and Qi S. Zhang