Communications on Pure and Applied Mathematics 2001: Vol 54 Table of Contents PDF
Preview Communications on Pure and Applied Mathematics 2001: Vol 54 Table of Contents
Communications on PURE AND APPLIED MATHEMATICS Contents of Volume LIV, Nos. 1-12, 2001 On the Trend to Global Equilibrium in Spatially Inhomogeneous Entropy- Dissipating Systems: The Linear Fokker-Planck Equation L. Desvillettes and C. Villani Regularity of a Free Boundary for Viscosity Solutions of Nonlinear Elliptic Equations K.-A. Lee and H. Shahgholian FETI and Neumann-Neumann Iterative Substructuring Methods: Connections and New Results \. Klawonn and O. B. Widlund Peakons, Strings, oS and the Finite Toda Lattice R. Beals, D. H. Sattinger, and J. Szmigielski A Liouville Theorem and Blowup Behavior for a Vector-Valued Nonlinear Heat Equa- tion with No Gradient Structure H. Zaag On the Wave Equation with a Magnetic Potential S. Cuccagna and P. P Schirmei Integrals over Classical Groups, Random Permutations, Toda and Toeplitz Lattices M. Adler and P van Moerbeke A Quantization Property for Static Ginzburg-Landau Vortices E-H. Lin and T. Riviere On the Caffarelli-Kohn-Nirenberg Inequalities: Sharp Constants, Existence (and Nonexistence), and Symmetry of Extremal Functions F Catrina and Z.-Q. Wang NUMBER 3, MARCH Short-Time Asymptotics in Dirichlet Spaces J. A. Ramirez Limiting Domain Wall Energy for a Problem Related to Micromagnetics [. Riviere and S. Serfaty I] Carleman Estimates and Unique Continuation for Second-Order Elliptic Equations with Nonsmooth Coefficients H. Koch and D. Tataru Domain Coarsening in Thin Films B. Niethammer and F. Otto NUMBER 4, APRII Asymptotically Optimally Doubling Measures and Reifenberg Flat Sets with Vanish- ing Constant G. David, C. Kenig, and T. Toro The Difference of Topology at Infinity in Changing-Sign Yamabe Problems on S” (the Case of Two Masses) A. Bahri and S. Chanillo An Area-Dirichlet Integral Minimization Problem I. Athanasopoulos, L. A. Caffarelli, C. Kenig, and S. Salsa NUMBER 5, MAY Linear Stability of Solitary Waves of the Green-Naghdi Equations PAs. An Additional Gibbs’ State for the Cubic Schrédinger Equation on the Circle K. L. Vaninsky Regularity of Solutions for Some Variational Problems Subject to a Convexity Con- straint G. Carlier and T. Lachand-Robert .... Spectra, Pseudospectra, and Localization for Random Bidiagonal Matrices L. N. Trefethen, M. Contedini, and M. Embree NUMBER 6, JUNI The Attractor for a Nonlinear Reaction-Diffusion System in an Unbounded Domain M. A. Efendiev and S. V. Zelik . Morse Homology on Hilbert Spaces A. Abbondandolo and P. Majer NUMBER 7, JULY A New Approach to Variational Problems with Multiple Scales G. Alberti and S. Miller A Quantization Property for Moving Line Vortices E-H. Lin and T. Riviere Semiclassical Limit for the Schrédinger-Poisson Equation in a Crystal P Bechouche, N. J. Mauser, and F Poupaud NUMBER 8, AUGUST A Mathematical Framework for Stochastic Climate Models A. J. Majda, I. Timofeyev, and E. Vanden Eijnden Volume and Time Doubling of Graphs and Random Walks: Th1 e Strongly Recurrent Case A. Ti On the Number of Singular Points of Weak Solutions to the Navier-Stokes Equations G. A. Seregin NUMBER 9, SEPTEMBER A Variational Theory of the Hessian Equation K.-S. Chou and X.-]. Wang . Locating the Peaks of Solutions via the Maximum Principle: I. The Neumann Prob- lem C.-S. Lin Compactness in Ginzburg-Landau Energy by Kinetic Averaging P-E. Jabin and B. Perthame Stabilization of Solutions to Nonlinear Schrodinger Equations S. Cuccagna Non-Gaussian Invariant Measures for the Majda Model of Decaying Turbulent Trans- port E. Vanden Eijnden NUMBER 10, OCTOBER Adaptive Weak Approximation of Stochastic Differential Equations A. Szepessy, R. Tempone, and G. E. Zouraris On Self-Similar Singular Solutions of the Complex Ginzburg-Landau Equation P Plechdaé and V. Sverak Unified Approach to KdV Modulations G. A. El, A. L. Krylov, and S. Venakides Addition for the Acoustic Equation H. P McKean NUMBER 11, NOVEMBER Analytic Aspects of the Toda System: I. A Moser-Trudinger Inequality J. Jost and G. Wang Quenching of Flames by Fluid Advection P Constantin, A. Kiselev, and L Stability of One-Dimensional Boundary Layers by Using Green’s Functions E. Grenier and F Rousset Ergodicity for the Navier-Stokes Equation with Degenerate Random Forcing: Finite- Dimensional Approximation W. EandJ . C. Mattingly ... 1386 NUMBER 12, DECEMBER Planelike Minimizers in Periodic Media L. A. Caffarelli and R. de la Llave Yee aver OS An Analysis of the Perona-Malik Scheme S. Esedoglu 1442 Moderate Deviations for Longest Increasing Subsequences: M. Lowe and E Merkl ee 1488 Author Index Volume Contents
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