Analysis on Manifolds with Singularities
This exposition introduces new developments of pseudo‐differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields. It presents some crucial parts of recent inventions in singular analysis which contribute to pseudo-diffe...
Zapisane w:
| Główni autorzy: | , |
|---|---|
| Korporacja: | |
| Format: | Elektroniczne E-book |
| Język: | angielski |
| Wydane: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
|
| Wydanie: | 1st ed. 2025. |
| Seria: | Pseudo-Differential Operators, Theory and Applications,
16 |
| Hasła przedmiotowe: | |
| Dostęp online: | https://doi.org/10.1007/978-3-032-01890-8 |
| Etykiety: |
Dodaj etykietę
Nie ma etykietki, Dołącz pierwszą etykiete!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-032-01890-8 | ||
| 003 | DE-He213 | ||
| 005 | 20260810153321.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 260102s2025 sz | o |||| 0|eng d | ||
| 020 | |a 9783032018908 |9 978-3-032-01890-8 | ||
| 024 | 7 | |a 10.1007/978-3-032-01890-8 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
| 072 | 7 | |a PBK |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Chang, Der-Chen. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Analysis on Manifolds with Singularities |h [electronic resource] / |c by Der-Chen Chang, Bert-Wolfgang Schulze. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2025. | |
| 300 | |a 1 online resource (X, 135 p. 1 illus.). |b 1 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b PDF/UA-1 |2 onix | |
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background color |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Pseudo-Differential Operators, Theory and Applications, |x 2297-0363 ; |v 16 | |
| 505 | 0 | |a Introduction -- 1. Pseudo-differential operators - basics and new techniques -- 1.1. Elements of the local calculus -- 1.2. Operators on manifolds -- 1.3. Twisted symbolic estimates -- 1.4. Edge Sobolev spaces -- 1.5. Explicit solutions to Dirichlet and Neumann problems -- 1.6. Hölder and Lp estimates for coercive boundary value problems -- 2. Operators of Fuchs Type -- 2.1. Degenerate Operators and Singular Manifolds -- 2.2. Kernel Cut-Off -- 2.3. Symbols with Distributional Asymptotic Densities -- 2.4. Conical singularities in stretched descripion -- 2.5. The cone calculus -- 3. Manifolds with edges -- 3.1. Manifolds with edge and weighted Sobolev spaces -- 3.2. Edge spaces with asymptotics -- 3.3. Edge operators -- 4. Edge Operators with Trace and Potential Conditions -- 4.1. Basic Tools -- 4.2. Group Actions and Weighted Cone and Edge Spaces -- 4.3. Operators in Edge Spaces -- 4.4. Notes on Pseudo-Differential Boundary Problems -- 4.5. The Laplace-Beltrami Operator on a Wedge -- 4.6. The Global Ellipticity of Edge Problems -- 4.7. Local Calculus Close to the Edge -- 4.8. Global Ellipticity with Edge Conditions -- 5. The Geometry of Singularities -- 5.1. The Case of Conical Singularities or Edges -- 5.2. Higher Singularities -- 5.3. Iterated Edge Spaces -- 5.4. Distribution spaces and cone operators -- Bibliography. | |
| 520 | |a This exposition introduces new developments of pseudo‐differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields. It presents some crucial parts of recent inventions in singular analysis which contribute to pseudo-differential structures and establishes new insight to building up singular operators in corresponding operator algebras with symbolic structures. Researchers in the field will find the presented techniques in this book a valuable resource and inspiration for their own projects. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 700 | 1 | |a Schulze, Bert-Wolfgang. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783032018892 |
| 776 | 0 | 8 | |i Printed edition: |z 9783032018915 |
| 830 | 0 | |a Pseudo-Differential Operators, Theory and Applications, |x 2297-0363 ; |v 16 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-032-01890-8 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-251 | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||
| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||