Geometric Analysis of PDE and Several Complex Variables : Dedicated to François Treves.

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Bibliographic Details
Author / Creator: Chanillo, Sagun.
Other Authors / Creators:Cordaro, Paulo D.
Hanges, Nicholas.
Hounie, Jorge.
Meziani, Abdehamid.
Format: eBook Electronic
Language:English
Imprint: Providence : American Mathematical Society, 2005.
Series:Contemporary Mathematics
Subjects:
Local Note:Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2022. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Online Access:Click to View
Table of Contents:
  • Intro
  • Contents
  • Cusp-type singularities of real analytic curves in the complex plane
  • The F. and M. Riesz property for vector fields
  • Gevrey hypo-ellipticity for sums of squares of vector fields: Some examples
  • 1. Introduction
  • 2. Statement of the Treves conjecture
  • 3. The case of a nonsymplectic Poisson stratification: some definitions
  • 4. Proof of Theorem 1.0.1
  • 5. The Poisson-Treves stratification for Ls and Li
  • 6. Symplectic slices and Gevrey Hypo-Ellipticity
  • References
  • W1,1-maps with values into S1
  • Analytic hypoellipticity and spectral problems for Schrödinger's equation
  • Formal solutions for higher order nonlinear totally characteristic PDEs with irregular singularities
  • Uniqueness of L∞ solutions for a class of conormal BV vector fields
  • Impact of lower order terms on a model PDE in two variables
  • Global analytic hypoellipticity for a class of quasilinear sums of squares of vector fields
  • Representations via overdetermined systems
  • A semi-explicit fundamental domain for a Picard modular group in complex hyperbolic space
  • Complex horospherical transform on real sphere
  • On analyticity in space variable of solutions to the KdV equation
  • The multinomial distribution and some Bergman kernels
  • Several results for holomorphic mappings from Bn into BN
  • Whitney and Mizohata structures
  • One-side Liouville theorems for a class of hypoelliptic ultraparabolic equations
  • Acyclic sheaves in Banach spaces
  • A Liouville type theorem for some conformally invariant fully nonlinear equations
  • Norm closure of classical pseudodifferential operators does not contain Hörmander's class
  • Remarks on the well-posedness of the nonlinear Cauchy problem
  • Representation of solutions of planar elliptic vector fields with degeneracies
  • Some recollections of working with François Treves.
  • Boundary values problems on Lipschitz domains in Rn or Cn
  • Hyperbolic systems well posed in all Gevrey classes.