R-boundedness, Fourier multipliers and problems of elliptic and parabolic type:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2003
|
| Series: | Memoirs of the American Mathematical Society
788 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 166, number 788 (first of 3 numbers)." |
| Physical Description: | VII, 114 S. |
| ISBN: | 0821833782 9780821833780 |
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| 245 | 1 | 0 | |a R-boundedness, Fourier multipliers and problems of elliptic and parabolic type |c Robert Denk ; Matthias Hieber ; Jan Prüss |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2003 | |
| 300 | |a VII, 114 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 788 | |
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| 650 | 7 | |a Randwaardeproblemen |2 gtt | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations, Elliptic | |
| 650 | 4 | |a Differential equations, Parabolic | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction 1
Notations and Conventions 3
I 7?. Boundedness and Sectorial Operators 5
1 Sectorial Operators
1.1 Sectorial Operators 8
1.2 Permanence Properties 9
1.3 Perturbation Theory 11
1.4 Dunford Functional Calculus 12
2 The Classes B1V{X) and H°°{X)
2.1 Extended Functional Calculus 16
2.2 Fractional Powers of Sectorial Operators 19
2.3 Operators with Bounded Imaginary Powers 21
2.4 Operators with Bounded 7i°° Calcums 24
3 7£ Bounded Families of Operators
3.1 7?. Bounded Families of Operators 26
3.2 Unconditional Schauder Decompositions 31
3.3 Operator Valued Fourier Multipliers: One Variable 35
3.4 Fourier Multipliers: Several Variables 39
4 7?. Sectorial Operators and Maximal Lp Regularity
4.1 7?. Sectorial Operators 42
4.2 7?. Sectorial Operators and Maximal Lp Regularity 44
4.3 Sufficient Conditions 47
4.4 Operators with 7£ Bounded Functional Calculus 50
4.5 Further Sufficient Conditions for 7?. Boundedness 53
II Elliptic and Parabolic Boundary Value Problems 57
5 Elliptic Differential Operators in Lp{Rn;E)
V
vi CONTENTS
5.1 Kernel Estimates 60
5.2 H°° Calculus for Elliptic Operators 65
5.3 Elliptic Operators with Variable Coefficients 67
6 Elliptic Problems in a Half Space: General Banach Spaces
6.1 Partial Fourier Transforms 71
6.2 The Lopatinskii Shapiro Condition 74
6.3 Kernel Estimates 77
6.4 Solution Operators 80
7 Elliptic Problems in a Half Space: Banach Spaces of Class TiT
7.1 W°° Calculus 85
7.2 7?. Bounds for Solution Operators 89
7.3 Perturbations 92
7.4 Variable Coeffients in a Half Space 98
8 Elliptic and Parabolic Problems in Domains
8.1 Localization Techniques and Main Result for Domains 99
8.2 Proof of the Main Result for Domains 102
Notes 108
References 111
|
| any_adam_object | 1 |
| author | Denk, Robert 1964- |
| author_GND | (DE-588)108799883 (DE-588)1216715343 (DE-588)113443625 |
| author_facet | Denk, Robert 1964- |
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| author_sort | Denk, Robert 1964- |
| author_variant | r d rd |
| building | Verbundindex |
| bvnumber | BV017366916 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 355f MAT 356f MAT 354f |
| ctrlnum | (OCoLC)52631387 (DE-599)BVBBV017366916 |
| dewey-full | 22 515/.35 510 |
| dewey-hundreds | 000 - Computer science, information, general works 500 - Natural sciences and mathematics |
| dewey-ones | 022 - Administration of physical plant 515 - Analysis 510 - Mathematics |
| dewey-raw | 22 515/.35 510 |
| dewey-search | 22 515/.35 510 |
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| discipline | Mathematik Theologie / Religionswissenschaften |
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| id | DE-604.BV017366916 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:17:10Z |
| institution | BVB |
| isbn | 0821833782 9780821833780 |
| language | English |
| lccn | 2003057766 |
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| physical | VII, 114 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Denk, Robert 1964- Verfasser (DE-588)108799883 aut R-boundedness, Fourier multipliers and problems of elliptic and parabolic type Robert Denk ; Matthias Hieber ; Jan Prüss Providence, RI American Mathematical Society 2003 VII, 114 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 788 "Volume 166, number 788 (first of 3 numbers)." Elliptische differentiaalvergelijkingen gtt Multiplicator gtt Parabolische differentiaalvergelijkingen gtt Randwaardeproblemen gtt Boundary value problems Differential equations, Elliptic Differential equations, Parabolic Multipliers (Mathematical analysis) Randwertproblem (DE-588)4048395-2 gnd rswk-swf Multiplikator (DE-588)4040703-2 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 s Parabolische Differentialgleichung (DE-588)4173245-5 s Elliptische Differentialgleichung (DE-588)4014485-9 s Multiplikator (DE-588)4040703-2 s DE-604 Hieber, Matthias Sonstige (DE-588)1216715343 oth Prüss, Jan 1951-2018 Sonstige (DE-588)113443625 oth Memoirs of the American Mathematical Society 788 (DE-604)BV008000141 788 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010467254&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Denk, Robert 1964- R-boundedness, Fourier multipliers and problems of elliptic and parabolic type Memoirs of the American Mathematical Society Elliptische differentiaalvergelijkingen gtt Multiplicator gtt Parabolische differentiaalvergelijkingen gtt Randwaardeproblemen gtt Boundary value problems Differential equations, Elliptic Differential equations, Parabolic Multipliers (Mathematical analysis) Randwertproblem (DE-588)4048395-2 gnd Multiplikator (DE-588)4040703-2 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4040703-2 (DE-588)4014485-9 (DE-588)4173245-5 |
| title | R-boundedness, Fourier multipliers and problems of elliptic and parabolic type |
| title_auth | R-boundedness, Fourier multipliers and problems of elliptic and parabolic type |
| title_exact_search | R-boundedness, Fourier multipliers and problems of elliptic and parabolic type |
| title_full | R-boundedness, Fourier multipliers and problems of elliptic and parabolic type Robert Denk ; Matthias Hieber ; Jan Prüss |
| title_fullStr | R-boundedness, Fourier multipliers and problems of elliptic and parabolic type Robert Denk ; Matthias Hieber ; Jan Prüss |
| title_full_unstemmed | R-boundedness, Fourier multipliers and problems of elliptic and parabolic type Robert Denk ; Matthias Hieber ; Jan Prüss |
| title_short | R-boundedness, Fourier multipliers and problems of elliptic and parabolic type |
| title_sort | r boundedness fourier multipliers and problems of elliptic and parabolic type |
| topic | Elliptische differentiaalvergelijkingen gtt Multiplicator gtt Parabolische differentiaalvergelijkingen gtt Randwaardeproblemen gtt Boundary value problems Differential equations, Elliptic Differential equations, Parabolic Multipliers (Mathematical analysis) Randwertproblem (DE-588)4048395-2 gnd Multiplikator (DE-588)4040703-2 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Elliptische differentiaalvergelijkingen Multiplicator Parabolische differentiaalvergelijkingen Randwaardeproblemen Boundary value problems Differential equations, Elliptic Differential equations, Parabolic Multipliers (Mathematical analysis) Randwertproblem Multiplikator Elliptische Differentialgleichung Parabolische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010467254&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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