TY  - BOOK
AU  - Chanillo,Sagun
AU  - Cordaro,Paulo D.
AU  - Hanges,Nicholas
AU  - Hounie,Jorge
AU  - Meziani,Abdehamid
TI  - Geometric Analysis of PDE and Several Complex Variables: Dedicated to François Treves
T2  - Contemporary Mathematics
SN  - 9780821879580
AV  - QA377 -- .G4576 2005eb 
U1  - 515/.353 
PY  - 2005///
CY  - Providence
PB  - American Mathematical Society
KW  - Differential equations, Partial
KW  - Functions of several complex variables
KW  - Geometric function theory
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113320
ER  -