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Spectra of partial differential operators:

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Bibliographic Details
Main Author:	Schechter, Martin 1930- (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:	Opérateurs différentiels partiels Spectre (Mathématiques) Partial differential operators Spectral theory (Mathematics) Spektraltheorie Spektralanalyse > Stochastik Differentialoperator Spektrum Partielle Differentialgleichung Operator Partieller Differentialoperator
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001265053&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XIII, 310 S.
ISBN:	044487822X

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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 Â§ 1. Banach and Hilbert spaces 1 Â§ 2. Linear operators 5 Â§ 3. Fredholm operators 12 Â§ 4. The spectrum 13 Â§ 5. Interpolation 18 Â§ 6. Intermediate extensions 21 Â§ 7. Self-adjoint operators 30 Chapter 2. Function spaces 39 Â§ 1. Functions on E 39 Â§ 2. Fourier transforms 43 Â§ 3. L p multipliers 44 Â§ 4. The spaces H s â€™ p 46 Chapter 3. Partial differential operators 51 Â§ 1. Constant coefficient operators 51 Â§ 2. Operators with variable coefficients 53 Â§ 3. Elliptic operators 55 Chapter 4. General if theory 57 Â§ 1. The minimal operator 57 Â§ 2. The maximal extension 60 Â§ 3. The spectrum of the minimal operator 63 Â§ 4. The case p ^ 2 65 Â§ 5. Examples 69 Â§ 6. Perturbation by a potential 72 Chapter 5. Relative compactness 77 Â§ 1. Orientation 77 Â§ 2. P 0 -boundedness 78 Â§ 3. P 0 -compactness 84 Â§ 4. Comparison of operators 88 Â§ 5. The operator qQ 0 92 Â§ 6. The adjoint of P 0 +q 94 Â§ 7. Smooth coefficients in 13 95 Â§ 8. The case p = 1 103 Â§ 9. The case 1 p ^ x 105 XI XII CONTENTS Chapter 6. Elliptic operators 1 14 Â§ 1. An improvement 114 Â§ 2. A condition for boundedness 115 Â§ 3. Bessel potentials 117 Â§ 4. Some new spaces 120 Â§ 5. The Sobolev case 123 Â§ 6. Another estimate 128 Â§ 7. A general inequality 131 Â§ 8. Some comparisons 135 Â§ 9. Relative bounds 140 Â§10. Elliptic operators 147 Chapter 7. Operators bounded from below 154 Â§ 1. Introduction 154 Â§ 2. Regularly accretive extensions 155 Â§ 3. Invariance of the essential spectrum 159 Â§ 4. Perturbation by an operator 162 Â§ 5. An illustration 165 Â§ 6. Essential spectrum bounded from below 167 Â§ 7. Strongly elliptic operators 169 Â§ 8. A strengthened version for elliptic operators 174 Â§ 9. Perturbation by a potential. Elliptic case 175 Â§10. Perturbation by an operator. Elliptic case 179 Chapter 8. Self-adjoint extensions 183 Â§ 1. Existence 183 Â§ 2. Extensions with special properties 186 Â§ 3. Intervals containing the essential spectrum 188 Â§ 4. Essentially self-adjoint operators 191 Â§ 5. Finite negative spectrum 192 Â§ 6. Bounded operators 198 Â§ 7. Some related spaces 201 Chapter 9. Second order operators 212 Â§ 1. Introduction 212 Â§ 2. Essential self-adjointness 215 Â§ 3. Some observations 222 Â§ 4. Comparison of operators 228 Â§ 5. Estimating the essential spectrum 234 Â§ 6. The quadratic form J( p) 237 Â§ 7. Adding of spectra 243 Â§ 8. Separation of coordinates 251 Â§ 9. Clusters 254 Chapter 10 Applications 260 Â§ 1. The Schrodinger operator for a particle 260 CONTENTS XIII Â§ 2. Two particle systems 262 Â§ 3. The existence of bound states 265 Â§ 4. Systems of N particles 268 Â§ 5. The Zeeman effect 271 Â§ 6. Stability 277 Chapter 11. Notes, remarks and references 282 Â§ 1. Chapter 1 282 Â§ 2. Chapter 2 286 Â§ 3. Chapter 3 291 Â§ 4. Chapter 4 293 Â§ 5. Chapter 5 296 Â§ 6. Chapter 6 297 Â§ 7. Chapter 7 298 Â§ 8. Chapter 8 299 Â§ 9. Chapter 9 299 Â§10. Chapter 10 300 Bibliography 301 List of Symbols 308 Subject Index 309
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series	North-Holland series in applied mathematics and mechanics
series2	North-Holland series in applied mathematics and mechanics
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) Spektraltheorie (DE-588)4116561-5 gnd Spektralanalyse Stochastik (DE-588)4056125-2 gnd Differentialoperator (DE-588)4012251-7 gnd Spektrum (DE-588)4056139-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Operator (DE-588)4130529-2 gnd Partieller Differentialoperator (DE-588)4173439-7 gnd
subject_GND	(DE-588)4116561-5 (DE-588)4056125-2 (DE-588)4012251-7 (DE-588)4056139-2 (DE-588)4044779-0 (DE-588)4130529-2 (DE-588)4173439-7
title	Spectra of partial differential operators
title_auth	Spectra of partial differential operators
title_exact_search	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) Spektraltheorie (DE-588)4116561-5 gnd Spektralanalyse Stochastik (DE-588)4056125-2 gnd Differentialoperator (DE-588)4012251-7 gnd Spektrum (DE-588)4056139-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Operator (DE-588)4130529-2 gnd Partieller Differentialoperator (DE-588)4173439-7 gnd
topic_facet	Opérateurs différentiels partiels Spectre (Mathématiques) Partial differential operators Spectral theory (Mathematics) Spektraltheorie Spektralanalyse Stochastik Differentialoperator Spektrum Partielle Differentialgleichung Operator Partieller Differentialoperator
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001265053&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV001900898
work_keys_str_mv	AT schechtermartin spectraofpartialdifferentialoperators

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