Partial Differential Equations in Several Complex Variables is popular PDF and ePub book, written by So-chin Chen in 2001, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Partial Differential Equations in Several Complex Variables can be Read Online from any device for your convenience.
Partial Differential Equations in Several Complex Variables Book PDF Summary
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.
Detail Book of Partial Differential Equations in Several Complex Variables PDF
- Author : So-chin Chen
- Release : 01 July 2024
- Publisher : American Mathematical Soc.
- ISBN : 0821829610
- Genre : Mathematics
- Total Page : 396 pages
- Language : English
- PDF File Size : 21,7 Mb
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