Geometric analysis of PDE and several complex variables : dedicated to François Treves / Sagun Chanillo [and four others], editors.

Format:

Book

Contributor:

Treves, Francois, 1930- honouree.

Chanillo, Sagun, 1955- editor.

Series:

Contemporary mathematics (American Mathematical Society) ; 368.

Contemporary mathematics, 0271-4132 ; 368

Language:

English

Subjects (All):

Differential equations, Partial.

Functions of several complex variables.

Geometric function theory.

Physical Description:

1 online resource (426 p.)

Edition:

1st ed.

Other Title:

Geometric analysis of PDE

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2005]

Language Note:

English

Summary:

This volume is dedicated to Francois Treves, who made substantial contributions to the geometric side of the theory of partial differential equations (PDEs) and several complex variables. One of his best-known contributions, reflected in many of the articles here, is the study of hypo-analytic structures. An international group of well-known mathematicians contributed to the volume. Articles generally reflect the interaction of geometry and analysis that is typical of Treves's work, such as the study of the special types of partial differential equations that arise in conjunction with CR-manifolds, symplectic geometry, or special families of vector fields. There are many topics in analysis and PDEs covered here, unified by their connections to geometry. The material is suitable for graduate students and research mathematicians interested in geometric analysis of PDEs and several complex variables.

Contents:

""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""

""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 FranÃois Treves""; ""Boundary values problems on Lipschitz domains in Rn or Cn""; ""Hyperbolic systems well posed in all Gevrey classes""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7958-8

0-8218-5702-9