Spectra of partial differential operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
North-Holland
1986
|
| Edition: | 2. ed. |
| Series: | North-Holland series in applied mathematics and mechanics
14 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 310 S. |
| ISBN: | 044487822X |
Staff View
MARC
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Record in the Search Index
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| adam_text | Titel: Spectra of partial differential operators
Autor: Schechter, Martin
Jahr: 1986
CONTENTS Chapter 1. Functional analysis 1 § 1. Banach and Hilbert spaces 1 § 2. Linear operators 5 § 3. Fredholm operators 12 § 4. The spectrum 13 § 5. Interpolation 18 § 6. Intermediate extensions 21 § 7. Self-adjoint operators 30 Chapter 2. Function spaces 39 § 1. Functions on E 39 § 2. Fourier transforms 43 § 3. L p multipliers 44 § 4. The spaces H s ’ p 46 Chapter 3. Partial differential operators 51 § 1. Constant coefficient operators 51 § 2. Operators with variable coefficients 53 § 3. Elliptic operators 55 Chapter 4. General if theory 57 § 1. The minimal operator 57 § 2. The maximal extension 60 § 3. The spectrum of the minimal operator 63 § 4. The case p ^ 2 65 § 5. Examples 69 § 6. Perturbation by a potential 72 Chapter 5. Relative compactness 77 § 1. Orientation 77 § 2. P 0 -boundedness 78 § 3. P 0 -compactness 84 § 4. Comparison of operators 88 § 5. The operator qQ 0 92 § 6. The adjoint of P 0 +q 94 § 7. Smooth coefficients in 13 95 § 8. The case p = 1 103 § 9. The case 1 p ^ x 105 XI
XII CONTENTS Chapter 6. Elliptic operators 1 14 § 1. An improvement 114 § 2. A condition for boundedness 115 § 3. Bessel potentials 117 § 4. Some new spaces 120 § 5. The Sobolev case 123 § 6. Another estimate 128 § 7. A general inequality 131 § 8. Some comparisons 135 § 9. Relative bounds 140 §10. Elliptic operators 147 Chapter 7. Operators bounded from below 154 § 1. Introduction 154 § 2. Regularly accretive extensions 155 § 3. Invariance of the essential spectrum 159 § 4. Perturbation by an operator 162 § 5. An illustration 165 § 6. Essential spectrum bounded from below 167 § 7. Strongly elliptic operators 169 § 8. A strengthened version for elliptic operators 174 § 9. Perturbation by a potential. Elliptic case 175 §10. Perturbation by an operator. Elliptic case 179 Chapter 8. Self-adjoint extensions 183 § 1. Existence 183 § 2. Extensions with special properties 186 § 3. Intervals containing the essential spectrum 188 § 4. Essentially self-adjoint operators 191 § 5. Finite negative spectrum 192 § 6. Bounded operators 198 § 7. Some related spaces 201 Chapter 9. Second order operators 212 § 1. Introduction 212 § 2. Essential self-adjointness 215 § 3. Some observations 222 § 4. Comparison of operators 228 § 5. Estimating the essential spectrum 234 § 6. The quadratic form J( p) 237 § 7. Adding of spectra 243 § 8. Separation of coordinates 251 § 9. Clusters 254 Chapter 10 Applications 260 § 1. The Schrodinger operator for a particle 260
CONTENTS XIII § 2. Two particle systems 262 § 3. The existence of bound states 265 § 4. Systems of N particles 268 § 5. The Zeeman effect 271 § 6. Stability 277 Chapter 11. Notes, remarks and references 282 § 1. Chapter 1 282 § 2. Chapter 2 286 § 3. Chapter 3 291 § 4. Chapter 4 293 § 5. Chapter 5 296 § 6. Chapter 6 297 § 7. Chapter 7 298 § 8. Chapter 8 299 § 9. Chapter 9 299 §10. Chapter 10 300 Bibliography 301 List of Symbols 308 Subject Index 309
|
| adam_txt |
Titel: Spectra of partial differential operators
Autor: Schechter, Martin
Jahr: 1986
CONTENTS Chapter 1. Functional analysis 1 § 1. Banach and Hilbert spaces 1 § 2. Linear operators 5 § 3. Fredholm operators 12 § 4. The spectrum 13 § 5. Interpolation 18 § 6. Intermediate extensions 21 § 7. Self-adjoint operators 30 Chapter 2. Function spaces 39 § 1. Functions on E" 39 § 2. Fourier transforms 43 § 3. L p multipliers 44 § 4. The spaces H s ’ p 46 Chapter 3. Partial differential operators 51 § 1. Constant coefficient operators 51 § 2. Operators with variable coefficients 53 § 3. Elliptic operators 55 Chapter 4. General if theory 57 § 1. The minimal operator 57 § 2. The maximal extension 60 § 3. The spectrum of the minimal operator 63 § 4. The case p ^ 2 65 § 5. Examples 69 § 6. Perturbation by a potential 72 Chapter 5. Relative compactness 77 § 1. Orientation 77 § 2. P 0 -boundedness 78 § 3. P 0 -compactness 84 § 4. Comparison of operators 88 § 5. The operator qQ 0 92 § 6. The adjoint of P 0 +q 94 § 7. Smooth coefficients in 13 95 § 8. The case p = 1 103 § 9. The case 1 p ^ x 105 XI
XII CONTENTS Chapter 6. Elliptic operators 1 14 § 1. An improvement 114 § 2. A condition for boundedness 115 § 3. Bessel potentials 117 § 4. Some new spaces 120 § 5. The Sobolev case 123 § 6. Another estimate 128 § 7. A general inequality 131 § 8. Some comparisons 135 § 9. Relative bounds 140 §10. Elliptic operators 147 Chapter 7. Operators bounded from below 154 § 1. Introduction 154 § 2. Regularly accretive extensions 155 § 3. Invariance of the essential spectrum 159 § 4. Perturbation by an operator 162 § 5. An illustration 165 § 6. Essential spectrum bounded from below 167 § 7. Strongly elliptic operators 169 § 8. A strengthened version for elliptic operators 174 § 9. Perturbation by a potential. Elliptic case 175 §10. Perturbation by an operator. Elliptic case 179 Chapter 8. Self-adjoint extensions 183 § 1. Existence 183 § 2. Extensions with special properties 186 § 3. Intervals containing the essential spectrum 188 § 4. Essentially self-adjoint operators 191 § 5. Finite negative spectrum 192 § 6. Bounded operators 198 § 7. Some related spaces 201 Chapter 9. Second order operators 212 § 1. Introduction 212 § 2. Essential self-adjointness 215 § 3. Some observations 222 § 4. Comparison of operators 228 § 5. Estimating the essential spectrum 234 § 6. The quadratic form J( p) 237 § 7. Adding of spectra 243 § 8. Separation of coordinates 251 § 9. Clusters 254 Chapter 10 Applications 260 § 1. The Schrodinger operator for a particle 260
CONTENTS XIII § 2. Two particle systems 262 § 3. The existence of bound states 265 § 4. Systems of N particles 268 § 5. The Zeeman effect 271 § 6. Stability 277 Chapter 11. Notes, remarks and references 282 § 1. Chapter 1 282 § 2. Chapter 2 286 § 3. Chapter 3 291 § 4. Chapter 4 293 § 5. Chapter 5 296 § 6. Chapter 6 297 § 7. Chapter 7 298 § 8. Chapter 8 299 § 9. Chapter 9 299 §10. Chapter 10 300 Bibliography 301 List of Symbols 308 Subject Index 309 |
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| callnumber-subject | QA - Mathematics |
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| ctrlnum | (OCoLC)12669470 (DE-599)BVBBV022114193 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/242 |
| dewey-search | 515.7/242 |
| dewey-sort | 3515.7 3242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV022114193 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:15:53Z |
| indexdate | 2024-07-09T20:50:50Z |
| institution | BVB |
| isbn | 044487822X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015329068 |
| oclc_num | 12669470 |
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| physical | XIII, 310 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | North-Holland |
| record_format | marc |
| series | North-Holland series in applied mathematics and mechanics |
| series2 | North-Holland series in applied mathematics and mechanics |
| spelling | Schechter, Martin 1930- Verfasser (DE-588)1042649022 aut Spectra of partial differential operators 2. ed. Amsterdam [u.a.] North-Holland 1986 XIII, 310 S. txt rdacontent n rdamedia nc rdacarrier North-Holland series in applied mathematics and mechanics 14 Opérateurs différentiels partiels Opérateurs différentiels partiels ram Spectre (Mathématiques) Partial differential operators Spectral theory (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Spektralanalyse Stochastik (DE-588)4056125-2 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Differentialoperator (DE-588)4012251-7 gnd rswk-swf Partieller Differentialoperator (DE-588)4173439-7 gnd rswk-swf Spektrum (DE-588)4056139-2 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Spektralanalyse Stochastik (DE-588)4056125-2 s Operator (DE-588)4130529-2 s Partieller Differentialoperator (DE-588)4173439-7 s Spektrum (DE-588)4056139-2 s 1\p DE-604 Differentialoperator (DE-588)4012251-7 s 2\p DE-604 Spektraltheorie (DE-588)4116561-5 s 3\p DE-604 North-Holland series in applied mathematics and mechanics 14 (DE-604)BV001900898 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015329068&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schechter, Martin 1930- Spectra of partial differential operators North-Holland series in applied mathematics and mechanics Opérateurs différentiels partiels Opérateurs différentiels partiels ram Spectre (Mathématiques) Partial differential operators Spectral theory (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd Spektralanalyse Stochastik (DE-588)4056125-2 gnd Operator (DE-588)4130529-2 gnd Differentialoperator (DE-588)4012251-7 gnd Partieller Differentialoperator (DE-588)4173439-7 gnd Spektrum (DE-588)4056139-2 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4056125-2 (DE-588)4130529-2 (DE-588)4012251-7 (DE-588)4173439-7 (DE-588)4056139-2 (DE-588)4116561-5 |
| title | Spectra of partial differential operators |
| title_auth | Spectra of partial differential operators |
| title_exact_search | Spectra of partial differential operators |
| title_exact_search_txtP | Spectra of partial differential operators |
| title_full | Spectra of partial differential operators |
| title_fullStr | Spectra of partial differential operators |
| title_full_unstemmed | Spectra of partial differential operators |
| title_short | Spectra of partial differential operators |
| title_sort | spectra of partial differential operators |
| topic | Opérateurs différentiels partiels Opérateurs différentiels partiels ram Spectre (Mathématiques) Partial differential operators Spectral theory (Mathematics) Partielle Differentialgleichung (DE-588)4044779-0 gnd Spektralanalyse Stochastik (DE-588)4056125-2 gnd Operator (DE-588)4130529-2 gnd Differentialoperator (DE-588)4012251-7 gnd Partieller Differentialoperator (DE-588)4173439-7 gnd Spektrum (DE-588)4056139-2 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| topic_facet | Opérateurs différentiels partiels Spectre (Mathématiques) Partial differential operators Spectral theory (Mathematics) Partielle Differentialgleichung Spektralanalyse Stochastik Operator Differentialoperator Partieller Differentialoperator Spektrum Spektraltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015329068&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001900898 |
| work_keys_str_mv | AT schechtermartin spectraofpartialdifferentialoperators |