Partial Differential Equations in Several Complex Variables

Released on by So-chin Chen
preview-18

  • Partial Differential Equations in Several Complex Variables Book Detail

  • Author : So-chin Chen
  • Release Date : 2001
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 396
  • ISBN 13 : 9780821829615
  • File Size : 32,32 MB
DOWNLOAD BOOK

Partial Differential Equations in Several Complex Variables by So-chin Chen PDF Summary

Book Description: This book is intended as both an introductory text and a reference book for those interested in studying several complex variables in the context of partial differential equations. In the last few decades, significant progress has been made in the study of Cauchy-Riemann and tangential Cauchy-Riemann operators; this progress greatly influenced the development of PDEs and several complex variables. After the background material in complex analysis is developed in Chapters 1 to 3, thenext three chapters are devoted to the solvability and regularity of the Cauchy-Riemann equations using Hilbert space techniques. The authors provide a systematic study of the Cauchy-Riemann equations and the \bar\partial-Neumann problem, including Hórmander's L2 existence progress on the globalregularity and irregularity of the \bar\partial-Neumann operators. The second part of the book gives a comprehensive study of the tangential Cauchy-Riemann equations, another important class of equations in several complex variables first studied by Lewy. An up-to-date account of the L2 theory for \bar\partial b operator is given. Explicit integral solution representations are constructed both on the Heisenberg groups and on strictly convex boundaries with estimates in Hölder and L2spaces. Embeddability of abstract CR structures is discussed in detail here for the first time.Titles in this series are co-published with International Press, Cambridge, MA.

Disclaimer: www.yourbookbest.com does not own Partial Differential Equations in Several Complex Variables books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Current Catalog

Current Catalog

File Size : 5,5 MB
Total View : 4381 Views
DOWNLOAD

First multi-year cumulation covers six years: 1965-70.

I, Mathematician

I, Mathematician

File Size : 67,67 MB
Total View : 9683 Views
DOWNLOAD

Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psycholo

Applied Probability

Applied Probability

File Size : 84,84 MB
Total View : 1355 Views
DOWNLOAD

This book presents articles on original material from invited talks given at the ``IMS Workshop on Applied Probability'' organized by the Institute of Mathemati

Complex Analysis

Complex Analysis

File Size : 98,98 MB
Total View : 2970 Views
DOWNLOAD

This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of F