Includes bibliographical references.

Inverse scattering on the line with incomplete scattering data ; On universal inequalities for the low eigenvalues of the buckling problem ; Continuous and discrete inverse conductivity problems ; Connection between the LiebThirring conjecture for Schrodinger operators and an isoperimetric problem for ovals on the plane ; An introduction to PDE methods in finance ; A review of some recent work on impedance imaging for inhomogeneities of low volume fraction ; Matrix bispectrality and Huygens' principle for Dirac operators ; Wellposedness for the SchrodingerDebye equation ; On domains for which the clamped plate system is positivity preserving ; Entropy dissipation and Wasserstein metric methods for the viscous Burgers' equation: convergence to diffusive waves ; Remarks about the flashing rachet ; A least action principle for steepest descent in a nonconvex landscape ; A network tomography problem related to the hypercube ; On the structure of the Schrodinger propagator ; The downward continuation approach to modeling and inverse scattering of seismic data in the Kirchhoff approximation ; Approximate invariant manifold of the AllenCahn flow in two dimensions ; On some spectral problems of mathematical physics ; Inverse problem for a random potential ; Pseudodifferential analysis for the Laplacian on noncompact symmetric spaces ; Boundary structure and cohomology of omplex manifolds ; Unique continuation property for elliptic systems and crack determination in anisotropic elasticity ; Duality in subsupercritical bubbling in the BrezisNirenberg problem near the critical exponent ; Highorder domain variations in boundary value and free boundary problems ; Radiation fields and inverse scattering on asymptotically Euclidean manifolds ; Interactive oscillation sources in Signorini's type problems ; Inverse scattering with timeperiodic potentials ; A local BorgMarchenko theorem for difference equations with complex coefficients Tuncay Aktosun ; Mark S Ashbaugh ; John Baras Carlos Berenstein and Franklin Gavilanez ; Rafael D Benguria and Michael Loss ; Jerome Busca ; Yves Capdeboscq and Michael S Vogelius ; Fabio A C C Chalub and Jorge P Zubelli ; A J Corcho and F Linares ; A Dall'Acqua and G Sweers ; Marco Di Francesco and Peter A Markowich ; Jean Dolbeault David Kinderlehrer and Micha Kowalczyk ; Nassif Ghoussoub and Robert J McCann ; F Alberto Grunbaum and Laura Felicia Matusevich ; Andrew Hassell and Jared Wunsch ; Maarten V de Hoop ; Micha Kowalczyk ; Peter Kuchment ; Matti Lassas Lassi Paivarinta and Eero Saksman ; Rafe Mazzeo ; Gerardo A Mendoza ; Gen Nakamura Gunther Uhlmann and JennNan Wang ; Manuel del Pino Jean Dolbeault and Monica Musso ; Fernando Reitich ; Antonio Sa Barreto ; Claudia Timofte and Carlos Conca ; Ricardo Weder ; Rudi Weikard