Online Library TheLib.net » Lectures on the L2-Sobolev Theory of the d-Neumann problem
cover of the book Lectures on the L2-Sobolev Theory of the d-Neumann problem

Ebook: Lectures on the L2-Sobolev Theory of the d-Neumann problem

Author: Straube E.J.

00
27.01.2024
0
0
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 Schrödinger 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. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
Download the book Lectures on the L2-Sobolev Theory of the d-Neumann problem for free or read online
Read Download
Continue reading on any device:
QR code
Last viewed books
Related books
Comments (0)
reload, if the code cannot be seen