Communications on PURE AND APPLIED MATHEMATICS Contents of Volume LV, Nos. 1-12, 2002 NUMBER ] \ NUARY A Real-Time Algorithm for the Location Search of Discontinuous Conductivities with One Measurement O. Kwon, J. K. Seo, and J.-R. Yoon . On the Boltzmann Equation for Long-Range Interactions R. Alexandre and C. Villani A Free Boundary Problem for a Quasi-linear Degenerate Elliptic Equation: Regular Reflection of Weak Shocks S. Cani¢é, B. L. Keyfitz, and E. H. Kim Dirichlet Heat Kernel in the Exterior of a Compact Set A. Grigor’yan and L. Saloff-Coste NUMBER 2, FEBRUARY On an Inequality by N. Trudinger and J. Moser and Related Elliptic Equations D. G. De Figueiredo, J. M. do O, and B. Ruf Asymptotic Dynamics of Nonlinear Schrodinger Equations: Resonance-Dominated and Dispersion-Dominated Solutions [.-P Tsai and H.-T. Yau Droplet Spreading: Intermediate Scaling Law by PDE Methods L. Giacomelli and F. Otto Scalars Convected by a Two-Dimensional Incompressible Flow D. Cordoba and C. Fefferman NUMBER 3, MARCH Microlocal Analysis of Seismic Inverse Scattering in Anisotropic Elastic Media C. C. Stolk and M. V. de Hoop Balancing Neumann-Neumann Methods for Incompressible Stokes Equations L. FE Pavarino and O. B. Widlund Stokes-Fourier and Acoustic Limits for the Boltzmann Equation: Convergence Prools E Golse and C. D. Levermore NUMBER 4, APRIL Riemann-Hilbert Problem for the Small Dispersion Limit of the KdV Equation and Linear Overdetermined Systems of Euler-Poisson-Darboux Type T. Grava Viscosity Solutions with Shocks Te. 4... The Limit Behavior of Solutions for the Cauchy Problem of the Complex Ginzburg- Landau Equation B. Wang The Conformal Plate Buckling Equation S. Chanillo and M. K.-H. Kiessling NUMBER 5, MAY Vortex Dynamics of the Full Time-Dependent Ginzburg-Landau Equations D. Spirn The Limit from the Schrédinger-Poisson to the Vlasov-Poisson Equations with Gen- eral Data in One Dimension P Zhang, Y. Zheng, and N. Mauser Convexity and All-Time C*-Regularity of the Interface in Flame Propagation P Daskalopoulos and K.-A. Lee .... On the Well-Posedness of the Euler Equations in the Triebel-Lizorkin Spaces D. Chae NUMBER 6, JUNE Application of the t-Function Theory of Painlevé Equations to Random Matrices: Py, Par, the LUE, JUE, and CUE P J. Forrester and N. S. Witte .... Sharp Estimates for Solutions of Multi-Bubbles in Compact Riemann Surfaces C.-C. Chen and C.-S. Lin On Hilbert, Fourier, and Wavelet Transforms R. C. Penne NUMBER 7, JULY Saddle Solutions of the Balanced Bistable Diffusion Equation On the Hydrodynamic Limit of Ginzburg-Landau Wave Vortices F Lin and P Zhang A I’-Convergence Result for the Two-Gradient Theory of Phase Ti S. Conti, I. Fonseca, and G. Leoni Density Problems for W!+! (M,N) F Hang NUMBER 8, AUGUST Front Propagation in Periodic Excitable Media H. Berestycki and F Hamel Homotopical Dynamics IV: Hopf Invariants and Hamiltonian Flows O. Cornea .. NUMBER 9, SEPTEMBER A Note on the abc Conjecture P-C. Hu and C.-C. Yang L089 The Vlasov-Poisson-Boltzmann System near Maxwellians Y. Guo 1104 The Stability of Localized Solutions of Landau-Lifshitz Equations S. Gustafson andJ . Shatah 1136 Fredholm Determinants, Jimbo-Miwa-Ueno t-Functions, and Representation The- ory A. Borodin and P. Deift 1160 NUMBER 10, OCTOBER On the o0-Volume Limit of the Focusing Cubic Schrodinger Equation B. C. Rider Hypersurfaces in Minkowski Space with Vanishing Mean Curvature S. Brendle .. The Elliptic Representation of the General Painlevé VI Equation D. Guzzetti NUMBER 11, NOVEMBER Dynamics of Singularity Surfaces for Compressible, Viscous Flows in Two Space Dimensions D. Hoff A Reduced Theory for Thin-Film Micromagnetics A. DeSimone, R. V. Kohn, S. Miiller, and E Otto A Theorem on Geometric Rigidity and the Derivation of Nonlinear Plate Theory from Three-Dimensional Elasticity G. Friesecke, R. D. James, and S. Miller rN UMBER 12, I> JECEMBER Boundary Concentration Phenomena for a Singularly Perturbed Elliptic Problem A. Malchiodi and M. Montenegro The Generation, Propagation, and Extinction of Multiphases in the KdV Zero- Dispersion Limit [: Grava and E-R. Tian Author Index . Volume Contents ...