The Solution of the D-bar Neumann Problem on Non-smooth Model Domains PDF Download
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Author: Dariush Ehsani
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
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Book Description
Author: Dariush Ehsani
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
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Book Description
![Lectures on the L2-Sobolev Theory of the [d-bar]-Neumann Problem PDF](https://books.google.com/books/content/images/frontcover/OX7IaM3Cx6cC?fife=w80-h100)
Author: Emil J. Straube
Publisher: European Mathematical Society
ISBN: 9783037190760
Category : Mathematics
Languages : en
Pages : 220
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Book Description
This book provides a thorough and self-contained introduction to the $\bar{\partial}$-Neumann problem, leading up to current research, in the context of the $\mathcal{L}^{2}$-Sobolev theory on bounded pseudoconvex domains in $\mathbb{C}^{n}$. It grew out of courses for advanced graduate students and young researchers given by the author at the Erwin Schrodinger International Institute for Mathematical Physics and at Texas A & M University. The introductory chapter provides an overview of the contents and puts them in historical perspective. The second chapter presents the basic $\mathcal{L}^{2}$-theory. Following is a chapter on the subelliptic estimates on strictly pseudoconvex domains. The two final chapters on compactness and on regularity in Sobolev spaces bring the reader to the frontiers of research. Prerequisites are a solid background in basic complex and functional analysis, including the elementary $\mathcal{L}^{2}$-Sobolev theory and distributions. Some knowledge in several complex variables is helpful. Concerning partial differential equations, not much is assumed. The elliptic regularity of the Dirichlet problem for the Laplacian is quoted a few times, but the ellipticity results needed for elliptic regularization in the third chapter are proved from scratch.
Author: Tran Vu Khanh
Publisher: LAP Lambert Academic Publishing
ISBN: 9783845402475
Category :
Languages : en
Pages : 120
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Book Description
This book studies the d-bar-Neumann problem in Several Complex Variables and especially focuses on a general estimate on domains which are not necessarily of D'Angelo finite type and pseudoconvexity. When the domain is pseudoconvex and of finite type, a great deal of work has been done on subelliptic estimates. The most general results concerning this problem have been obtained by J.J. Kohn in his Acta Mathematica paper in 1979 and by D. Catlin in his Annals of Mathematics paper in 1983. We use the method of weights of D. Catlin to study this problem on domains of the general type.
Author: Peter George Matheos
Publisher:
ISBN:
Category :
Languages : en
Pages : 132
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Book Description
Author: Alexander G. Ramm
Publisher: Springer Science & Business Media
ISBN: 1489915524
Category : Mathematics
Languages : en
Pages : 207
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Book Description
Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications and Computing held in Newark, Delaware, June, 2-, 1997
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1006
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Book Description
Author: So-chin Chen
Publisher: American Mathematical Soc.
ISBN: 9780821829615
Category : Mathematics
Languages : en
Pages : 396
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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.
Author: Alexandra V. Antoniouk
Publisher: Walter de Gruyter
ISBN: 3110288532
Category : Mathematics
Languages : en
Pages : 328
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Book Description
The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. The book provides also with a range of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. Many areas within life sciences are becoming increasingly quantitative and the progress in those areas will be more and more dependent on the successful development of advanced mathematical, statistical and modelling methodologies and techniques. The state-of-the-art developments in such methodologies and techniques are scattered throughout research journals and hardly accessible to the practitioners in those areas. This book identifies a number of frontier areas where such methodologies and techniques have recently been developed and are to be published here for the first time, bringing substantial potential benefit to a range of applications in life sciences. In addition, the book contains several state-of-the-art surveys at the interface of mathematics and life sciences that would benefit a larger interdisciplinary community. It is aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences and mathematics.
Author: Plamen Stefanov
Publisher: American Mathematical Soc.
ISBN: 1470410796
Category : Mathematics
Languages : en
Pages : 322
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Book Description
This volume contains the proceedings of two conferences on Inverse Problems and Applications, held in 2012, to celebrate the work of Gunther Uhlmann. The first conference was held at the University of California, Irvine, from June 18-22, 2012, and the second was held at Zhejiang University, Hangzhou, China, from September 17-21, 2012. The topics covered include inverse problems in medical imaging, scattering theory, geometry and image processing, and the mathematical theory of cloaking, as well as methods related to inverse problems.
Author: Ali Baklouti
Publisher: Springer
ISBN: 3319174436
Category : Mathematics
Languages : en
Pages : 269
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Book Description
This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex variables, who passed away in 2011. All research articles were written by leading experts, some of whom are prize winners in the fields of complex geometry, algebraic geometry and analysis. The book offers a valuable resource for all researchers interested in recent developments in analysis and geometry.
