| 000 | 02695nam a22003975a 4500 | ||
|---|---|---|---|
| 001 | 110-100226 | ||
| 003 | CH-001817-3 | ||
| 005 | 20170613140752.0 | ||
| 006 | a fot ||| 0| | ||
| 007 | cr nn mmmmamaa | ||
| 008 | 100226e20100226sz fot ||| 0|eng d | ||
| 020 | _a9783037195765 | ||
| 024 | 7 | 0 |
_a10.4171/076 _2doi |
| 040 | _ach0018173 | ||
| 072 | 7 |
_aPBKJ _2bicssc |
|
| 084 |
_a32-xx _a35-xx _2msc |
||
| 100 | 1 |
_aStraube, Emil J., _eauthor. |
|
| 245 | 1 | 0 |
_aLectures on the ℒ2-Sobolev Theory of the ∂-Neumann problem _h[electronic resource] / _cEmil J. Straube |
| 260 | 3 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2010 |
|
| 264 | 1 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2010 |
|
| 300 | _a1 online resource (214 pages) | ||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 0 | _aESI Lectures in Mathematics and Physics (ESI) | |
| 506 | 1 |
_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php |
|
| 520 | _aThis book provides a thorough and self-contained introduction to the ∂-Neumann problem, leading up to current research, in the context of the ℒ2-Sobolev theory on bounded pseudoconvex domains in ℂn. 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 ℒ2-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 ℒ2-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. | ||
| 650 | 0 | 7 |
_aDifferential equations _2bicssc |
| 650 | 0 | 7 |
_aSeveral complex variables and analytic spaces _2msc |
| 650 | 0 | 7 |
_aPartial differential equations _2msc |
| 700 | 1 |
_aStraube, Emil J., _eauthor. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.4171/076 |
| 856 | 4 | 2 |
_3cover image _uhttp://www.ems-ph.org/img/books/straube.jpg |
| 942 |
_2EBK13788 _cEBK |
||
| 999 |
_c50412 _d50412 |
||