Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

Erscheinungsjahr 2004
ISBN: 978-0-8218-3635-4
Verlag: American Mathematical Society

Buch, Englisch, Band 350, Gewicht: 482 g

Reihe: Contemporary Mathematics S.

Sixteen articles from the October 2001 conference on non-compact phenomena and Einstein equations revisit the topology of Sobolev maps, review blow up and asymptotic dynamics for critical and subcritical gKdV equations, and present recent advances in the global theory of constant mean curvature surfaces. Other topics include loop spaces of configur

This proceedings volume contains articles from the conference held at Rutgers University in honor of Haim Brezis and Felix Browder, two mathematicians who have had a profound impact on partial differential equations, functional analysis, and geometry. Mathematicians attending the conference had interests in noncompact variational problems, pseudo-holomorphic curves, singular and smooth solutions to problems admitting a conformal (or some group) invariance, Sobolev spaces on manifolds, and configuration spaces. One day of the proceedings was devoted to Einstein equations and related topics. Contributors to the volume include, among others, Sun-Yung A. Chang, Luis A. Caffarelli, Carlos E. Kenig, and Gang Tian. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.

Conformal deformations of Riemannian metrics via 'critical point theory at infinity': The conformally flat case with umbilic boundary; Cubic quasilinear wave equation and bilinear estimates; Ginzburg-Landau functionals, phase transitions and vorticity

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie