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» » Partial Differential Equations in Several Complex Variables (AMS/IP STUDIES IN ADVANCED MATHEMATICS)
Partial Differential Equations in Several Complex Variables (AMS/IP STUDIES IN ADVANCED MATHEMATICS) e-book

Author:

So-Chin Chen,Mei-Chi Shaw

Language:

English

Category:

Math

Subcategory:

Mathematics

ePub size:

1234 kb

Other formats:

rtf doc lrf mobi

Rating:

4.9

Publisher:

Amer Mathematical Society (January 1, 2001)

Pages:

380

ISBN:

0821810626

Partial Differential Equations in Several Complex Variables (AMS/IP STUDIES IN ADVANCED MATHEMATICS) e-book

by So-Chin Chen,Mei-Chi Shaw


This book is intended both as an introductory text and as a reference book for those interested in studying several complex variables in the context of partial differential equations

This book is intended both as an introductory text and as 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 fields of Cauchy-Riemann and tangential Cauchy-Riemann operators. The background material in several complex variables is developed in the first three chapters, leading to the Levi problem.

So-Chin Chen; Mei-Chi Shaw. Partial Differential Equations in Several Complex Variables. Go . current document Publication list for all documents. Base Product Code Keyword List: amsip; AMSIP; amsip/19; AMSIP/19; amsip-19; AMSIP-19. Print Product Code: AMSIP/19. Online Product Code: AMSIP/19. Title (HTML): Partial Differential Equations in Several Complex Variables.

So-Chin Chen and Mei-Chi Shaw, Partial Differential Equations in Several Complex Variables AMS/IP Studies in Advanced Mathematics, Vol. 19, Amer. So. Providence, RI, International Press, Boston, MA, 2001 (Math.

So-Chin Chen, Mei-Chi Shaw.

So-Chin Chen, Mei-Chi Shaw Close. ren, E quations aux de rive es partielles, Functions of several complex variables, Mehrere komplexe Variable, Partial Differential equations, Partie le jkingen, Fonctions de plusieurs variables complexes, Partielle g. There's no description for this book yet.

Электронная книга "Partial Differential Equations in Several Complex Variables", So-Chin Chen, Mei-Chi Shaw

Электронная книга "Partial Differential Equations in Several Complex Variables", So-Chin Chen, Mei-Chi Shaw. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Partial Differential Equations in Several Complex Variables" для чтения в офлайн-режиме.

International Press of Boston - publishers of scholarly mathematical and scientific journals and books. Volume 6. Partial Differential Equations. First Published: 1997. First Published: 2001. Volume 5. Singularities and Complex Geometry.

Start by marking Partial Differential Equations in Several Complex Variables as Want to Read .

Start by marking Partial Differential Equations in Several Complex Variables as Want to Read: Want to Read savin. ant to Read. After the background material in complex analysis is developed in Chapters 1 through 3, the next three chapters are devoted to the solvability and regularity of the Cauchy-Riemann equations using Hilbert space techniques.

Partial Differential Equations in Several Complex Variables, AMS/IP Studies in Advanced Mathematics. American Mathematical Society, Boston (2001)CrossRefGoogle Scholar. Grauert, . Lieb, . Das Ramirezsche Integral und die Lösung der Gleichung (bar{partial } f alpha ) im Bereich der beschränkten Formen. Studies 56(2), 29–50 (1970) (German)Google Scholar. Deformation of complex structures, estimates for the (bar{partial }) equation, and stability of the Bergman kernel. 43(1), 1–86 (1982)MATHGoogle Scholar.

Chen, So-Chin; Shaw, Mei-Chi. AMS/IP Studies in Advanced Mathematics, 19. American Mathematical Society, Providence, RI; International Press, Boston, MA, 2001. xii+380 pp. ISBN 0-8218-1062-6. L2-estimates and existence theorems for the tangential Cauchy-Riemann complex.

So-Chin Chen and Mei-Chi Shaw, Partial differential equations in several complex variables, AMS/IP Studies in Advanced Mathematics, vol. 19, American Mathematical Society, Providence, RI; In-ternational Press, Boston, MA, 2001

So-Chin Chen and Mei-Chi Shaw, Partial differential equations in several complex variables, AMS/IP Studies in Advanced Mathematics, vol. 19, American Mathematical Society, Providence, RI; In-ternational Press, Boston, MA, 2001. Zˇ eljko Cˇ ucˇkovic´ and So¨ nmez S¸ ahutog˘ lu, Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains, J. Funct. 256 (2009), no. 11, 3730–3742.

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 was 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 through 3, the next 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 $barpartial$-Neumann problem, including Hórmander's $L^2$ existence progress on the global regularity and irregularity of the $barpartial$-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 $L^2$ theory for $barpartial_b$ operator is given. Explicit integral solution representations are constructed both on the Heisenberg groups and on strictly convex boundaries with estimates in Hölder and $L^2$ spaces. Embeddability of abstract $CR$ structures is discussed in detail here for the first time.

This fairly self-contained book provides a much-needed introductory text to several complex variables and PDEs. It also provides a rich source of information to experts.

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