Contemporary Mathematics 2004; 410 pp; softcover Volume: 362 ISBN10: 0821834487 ISBN13: 9780821834480 List Price: US$109 Member Price: US$87.20 Order Code: CONM/362
 This collection of articles from the Proceedings of the PanAmerican Advanced Studies Institute reflects recent developments in partial differential equations, nonlinear analysis and inverse problems. Interactions among these topics have produced remarkable developments over the last couple of decades. This volume contains survey articles reflecting the work of leading experts who presented minicourses at the event. Contributors include J. Busca, Y. Capdeboscq, M.S. Vogelius, F. A. Grünbaum, L. F. Matusevich, M. de Hoop, and P. Kuchment. The volume is suitable for graduate students and researchers interested in partial differential equations and their applications in nonlinear analysis and inverse problems. Readership Graduate students and research mathematicians interested in partial differential equations and their applications in nonlinear analysis and inverse problems. Table of Contents  T. Aktosun  Inverse scattering on the line with incomplete scattering data
 M. S. Ashbaugh  On universal inequalities for the low eigenvalues of the buckling problem
 J. Baras, C. Berenstein, and F. Gavilánez  Continuous and discrete inverse conductivity problems
 R. D. Benguria and M. Loss  Connection between the LiebThirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane
 J. Busca  An introduction to PDE methods in finance
 Y. Capdeboscq and M. S. Vogelius  A review of some recent work on impedance imaging for inhomogeneities of low volume fraction
 F. A. C. C. Chalub and J. P. Zubelli  Matrix bispectrality and Huygens' principle for Dirac operators
 A. J. Corcho and F. Linares  Wellposedness for the SchrödingerDebye equation
 A. Dall'Acqua and G. Sweers  On domains for which the clamped plate system is positivity preserving
 M. Di Francesco and P. A. Markowich  Entropy dissipation and Wasserstein metric methods for the viscous Burgers' equation: convergence to diffusive waves
 J. Dolbeault, D. Kinderlehrer, and M. Kowalczyk  Remarks about the flashing rachet
 N. Ghoussoub and R. J. McCann  A least action principle for steepest descent in a nonconvex landscape
 F. A. Grünbaum and L. F. Matusevich  A network tomography problem related to the hypercube
 A. Hassell and J. Wunsch  On the structure of the Schrödinger propagator
 M. V. de Hoop  The downward continuation approach to modeling and inverse scattering of seismic data in the Kirchhoff approximation
 M. Kowalczyk  Approximate invariant manifold of the AllenCahn flow in two dimensions
 P. Kuchment  On some spectral problems of mathematical physics
 M. Lassas, L. Päivärinta, and E. Saksman  Inverse problem for a random potential
 R. Mazzeo  Pseudodifferential analysis for the Laplacian on noncompact symmetric spaces
 G. A. Mendoza  Boundary structure and cohomology of \(b\)complex manifolds
 G. Nakamura, G. Uhlmann, and J.N. Wang  Unique continuation property for elliptic systems and crack determination in anisotropic elasticity
 M. del Pino, J. Dolbeault, and M. Musso  Duality in subsupercritical bubbling in the BrezisNirenberg problem near the critical exponent
 F. Reitich  Highorder domain variations in boundary value and free boundary problems
 A. S. Barreto  Radiation fields and inverse scattering on asymptotically Euclidean manifolds
 C. Timofte and C. Conca  Interactive oscillation sources in Signorini's type problems
 R. Weder  Inverse scattering with timeperiodic potentials
 R. Weikard  A local BorgMarchenko theorem for difference equations with complex coefficients
