The Solution of the D-bar Neumann Problem on Non-smooth Model Domains PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Solution of the D-bar Neumann Problem on Non-smooth Model Domains PDF full book. Access full book title The Solution of the D-bar Neumann Problem on Non-smooth Model Domains by Dariush Ehsani. Download full books in PDF and EPUB format.
Author: Dariush Ehsani
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
Get Book Here
Book Description
Author: Dariush Ehsani
Publisher:
ISBN:
Category :
Languages : en
Pages : 186
Get Book Here
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
Get Book Here
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.
![The [d-bar]-Neumann Problem and Schrödinger Operators PDF](https://books.google.com/books/content/images/frontcover/9u1OswEACAAJ?fife=w80-h100)
Author: Friedrich Haslinger
Publisher:
ISBN: 9783110315363
Category :
Languages : en
Pages : 150
Get Book Here
Book Description
Author: Lop-hing Ho
Publisher:
ISBN:
Category :
Languages : en
Pages : 124
Get Book Here
Book Description
Author: Friedrich Haslinger
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110377837
Category : Mathematics
Languages : en
Pages : 298
Get Book Here
Book Description
The topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations. It begins with results on the canonical solution operator to restricted to Bergman spaces of holomorphic d-bar functions in one and several complex variables.These operators are Hankel operators of special type. In the following the general complex is investigated on d-bar spaces over bounded pseudoconvex domains and on weighted d-bar spaces. The main part is devoted to the spectral analysis of the complex Laplacian and to compactness of the Neumann operator. The last part contains a detailed account of the application of the methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians. It is assumed that the reader has a basic knowledge of complex analysis, functional analysis and topology. With minimal prerequisites required, this book provides a systematic introduction to an active area of research for both students at a bachelor level and mathematicians.
Author: Peter George Matheos
Publisher:
ISBN:
Category :
Languages : en
Pages : 132
Get Book Here
Book Description
Author: Alexander G. Ramm
Publisher: Springer Science & Business Media
ISBN: 1489915524
Category : Mathematics
Languages : en
Pages : 207
Get Book Here
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: So-chin Chen
Publisher: American Mathematical Soc.
ISBN: 9780821829615
Category : Mathematics
Languages : en
Pages : 396
Get Book Here
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:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1006
Get Book Here
Book Description
Author: Plamen Stefanov
Publisher: American Mathematical Soc.
ISBN: 1470410796
Category : Mathematics
Languages : en
Pages : 322
Get Book Here
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.
