Complex Analysis and Dynamical Systems VI: Part 1: PDE, Differential Geometry, Radon Transform

ISBN-13: 9781470416539 / Angielski

Mark L. Agranovsky;Matania Ben-Artzi;Greg Galloway

Opis

This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19-24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers in this volume range over a wide variety of topics in Partial Differential Equations, Differential Geometry, and the Radon Transform. Taken together, the articles collected here provide the reader with a panorama of activity in partial differential equations and general relativity, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 667) is devoted to complex analysis, quasiconformal mappings, and complex dynamics.

Spis treści

• Inversion of a class of circular and elliptical radon transforms by G. Ambartsoumian and V. P. Krishnan
• Free jump dynamics in continuum by J. Baranska and Y. Kozitsky
• Instabilities in kinetic theory and their relationship to the ergodic theorem by J. Ben-Artzi
• Some recent progress on sharp Kato-type smoothing estimates by N. Bez and M. Sugimoto
• Uniqueness of photon spheres in static vacuum asymptotically flat spacetimes by C. Cederbaum
• The $L^1$ Liouville property on weighted manifolds by N. Charalambous and Z. Lu
• Some remarks on Gevrey well-posedness for degenerate Schrodinger equations by M. Cicognani and M. Reissig
• Asymptotics for damped evolution operators with mass-like terms by M. D'Abbicco
• Singular perturbations of elliptic operators by E. Dyachenko and N. Tarkhanov
• An initial-boundary value problem in a strip for two-dimensional equations of Zakharov-Kuznetsov type by A. V. Faminskii
• Analysis of first order systems of partial differential equations by Y.-L. Fang and D. Vassiliev
• An embedding into an Orlicz space for $L^1_1$-functions from irregular domains by P. Harjulehto and R. Hurri-Syrjanen
• Qualitative properties of solutions to structurally damped $\sigma$-evolution models with time decreasing coefficient in the dissipation by M. K. Mezadek and M. Reissig
• The Riemannian Penrose inequality with charge for multiple black holes by M. Khuri, G. Weinstein, and S. Yamada
• Criteria for invariance of convex sets for linear parabolic systems by G. Kresin and V, Maz'ya
• On an extension of harmonicity and holomorphy by J. Lawrynowicz, A. Niemczynowicz, M. Nowak-Kepczyk, and L. M. Tovar Sanchez
• Large data solutions for critical semilinear weakly hyperbolic equations by S. Lucente
• The Fredholm property and essential spectra of pseudodifferential operators on non-compact manifolds and limit operators by V. Rabinovich
• Overdetermined transforms in integral geometry by B. Rubin