**Contemporary Mathematics**

Volume: 400;
2006;
217 pp;
Softcover

MSC: Primary 32; 35;

Print ISBN: 978-0-8218-3921-8

Product Code: CONM/400

List Price: $65.00

AMS Member Price: $52.00

MAA Member Price: $58.50

**Electronic ISBN: 978-0-8218-7990-0
Product Code: CONM/400.E**

List Price: $65.00

AMS Member Price: $52.00

MAA Member Price: $58.50

# Recent Progress on Some Problems in Several Complex Variables and Partial Differential Equations

Share this page *Edited by *
*Shiferaw Berhanu; Hua Chen; Jorge Hounie; Xiaojun Huang; Sheng-Li Tan; Stephen S.-T. Yau*

The papers in this volume cover many important topics of
current interest in partial differential equations and several complex
variables. An international group of well-known mathematicians has contributed
original research articles on diverse topics such as the geometry of complex
manifolds, the mean curvature equation, formal solutions of singular partial
differential equations, and complex vector fields.

The material in this volume is useful for graduate students and researchers
interested in partial differential equations and several complex
variables.

#### Readership

Graduate students and research mathematicians interested in partial differential equations and functions in several complex variables.

# Table of Contents

## Recent Progress on Some Problems in Several Complex Variables and Partial Differential Equations

- Contents iii4 free
- Problems on the Monge-Ampère equation in the plane 18 free
- Global solvability for a special class of vector fields on the torus 1118
- Deformation in the large of some complex manifolds, II 2128
- Gradient Kähler-Ricci solitons and complex dynamical systems 4350
- On the summability of formal solutions for a class of nonlinear singular PDEs with irregular singularity 5360
- Upper bounds on the slope of a genus 3 fibration 6572
- The mean curvature equation in pseudohermitian geometry 8996
- Moment results for the Heisenberg group interpreted using the Weyl Calculus 95102
- The cohomology of vector bundles on general non-primary Hopf manifolds 107114
- Gevrey regularity in time for generalized KdV type equations 117124
- An Alexandrov type theorem for Reinhardt domains of C2 129136
- The quantitative estimate of unique continuation and the cost of approximate controllability of coupled parabolic systems 147154
- Complete invariant of a family of strongly pseudoconvex domain in A1-singularity: Bergman function 161168
- Anisotropic blowup and compactification 173180
- Planar complex vector fields and infinitesimal bendings of surfaces with nonnegative curvature 189196
- Bergman metric on Teichmüller spaces and moduli spaces of curves 203210