Global attractors in abstract parabolic problems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2000
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: London Mathematical Society lecture note series
278 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 235 S. |
| ISBN: | 0521794242 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013322516 | ||
| 003 | DE-604 | ||
| 005 | 20220216 | ||
| 007 | t | ||
| 008 | 000831s2000 |||| 00||| eng d | ||
| 020 | |a 0521794242 |9 0-521-79424-2 | ||
| 035 | |a (OCoLC)247396800 | ||
| 035 | |a (DE-599)BVBBV013322516 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-355 |a DE-11 |a DE-188 | ||
| 082 | 0 | |a 515.353 | |
| 084 | |a SI 320 |0 (DE-625)143123: |2 rvk | ||
| 084 | |a SK 560 |0 (DE-625)143246: |2 rvk | ||
| 100 | 1 | |a Cholewa, Jan W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Global attractors in abstract parabolic problems |c Jan W. Cholewa & Tomasz Dlotko |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2000 | |
| 300 | |a XII, 235 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society: London Mathematical Society lecture note series |v 278 | |
| 650 | 4 | |a Attraktor - Parabolische Differentialgleichung | |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dissipatives System |0 (DE-588)4209641-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Attraktor |0 (DE-588)4140563-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Attraktor |0 (DE-588)4140563-8 |D s |
| 689 | 0 | 1 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |D s |
| 689 | 0 | 2 | |a Dissipatives System |0 (DE-588)4209641-8 |D s |
| 689 | 0 | 3 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Dlotko, Tomasz |e Verfasser |4 aut | |
| 830 | 0 | |a London Mathematical Society: London Mathematical Society lecture note series |v 278 |w (DE-604)BV000000130 |9 278 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009085123&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009085123 | ||
Record in the Search Index
| _version_ | 1804128095539560448 |
|---|---|
| adam_text | LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES. 278 GLOBAL ATTRACTORS
IN ABSTRACT PARABOLIC PROBLEMS JAN W. CHOLEWA & TOMASZ DLOTKO SILESIAN
UNIVERSITY, POLAND IN COOPERATION WITH NATHANIEL CHAFEE GEORGIA
INSTITUTE OF TECHNOLOGY | CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE
VIUE CHAPTER 1. PRELIMINARY CONCEPTS 1 1.1. ELEMENTS OF STABILITY THEORY
1 1.1.1. STRONGLY CONTINUOUS SEMIGROUPS AND STABILITY OF SETS 1 1.1.2.
EXISTENCE OF A GLOBAL ATTRACTOR 5 1.1.3. THE ROLE OF LYAPUNOV FUNCTION
11 1.1.4. COMPACT SEMIGROUPS 12 1.2. INEQUALITIES. ELLIPTIC OPERATORS 16
1.2.1. ELEMENTARY INEQUALITIES 16 1.2.2. EMBEDDING THEOREMS 23 1.2.3.
NIRENBERG-GAGLIARDO TYPE INEQUALITIES 25 1.2.4. PROPERTIES OF UNIFORMLY
STRONGLY ELLIPTIC OPERATORS 27 1.3. SECTORIAL OPERATORS 32 1.3.1. TWO
BASIC ESTIMATES 35 1.3.2. EXAMPLES OF SECTORIAL OPERATORS 37 1.3.3.
FRACTIONAL POWERS OF SECTORIAL OPERATORS 42 CHAPTER 2. THE ABSTRACT
CAUCHY PROBLEM 54 2.1. EVOLUTIONARY EQUATION WITH SECTORIAL OPERATOR 54
2.2. VARIATION OF CONSTANTS FORMULA 57 2.3. LOCAL X A SOLUTIONS 62
CHAPTER 3. SEMIGROUPS OF GLOBAL SOLUTIONS 70 3.1. GENERATION OF
NONLINEAR SEMIGROUPS 71 3.1.1. SEMIGROUPS ON X 72 3.1.2. METRIE PHASE
SPACES 74 VI CONTENTS 3.2. SMOOTHING PROPERTIES OF THE SEMIGROUP 76 3.3.
COMPACTNESS RESULTS 80 CHAPTER 4. CONSTRUCTION OF THE GLOBAL ATTRACTOR
83 4.1. DISSIPATIVENESS OF {T( ) 83 4.2. EXISTENCE OF A GLOBAL
ATTRACTOR - ABSTRACT SETTING 86 4.3. GLOBAL SOLVABILITY AND ATTRACTORS
IN X A SCALES 88 CHAPTER 5. APPLICATION OF ABSTRACT RESULTS TO PARABOLIC
EQUATIONS 90 5.1. FORMULATION OF THE PROBLEM 90 5.2. GLOBAL SOLUTIONS
VIA PARTIAL INFORMATION 94 5.3. EXISTENCE OF A GLOBAL ATTRACTOR 98
CHAPTER 6. EXAMPLES OF GLOBAL ATTRACTORS IN PARABOLIC PROBLEMS 103 6.1.
INTRODUCTORY EXAMPLE 103 6.2. SINGLE SECOND ORDER DISSIPATIVE EQUATION
105 6.3. THE METHOD OF INVARIANT REGIONS 109 6.3.1. THE FITZHUGH-NAGUMO
EQUATION 116 6.3.2. SUPERCONDUCTIVITY OF LIQUIDS 116 6.4. THE
CAHN-HILLIARD PATTERN FORMATION MODEL 117 6.5. BURGERS EQUATION 126 6.6.
NAVIER-STOKES EQUATIONS IN LOW DIMENSION (N 2) 128 6.7. CAUCHY
PROBLEMS IN THE HALF-SPACE AE+XI? 1 132 CHAPTER 7. BACKWARD UNIQUENESS
AND REGULARITY OF SOLUTIONS 139 7.1. INVERTIBLE PROCESSES 139 7.2. X 3+A
SOLUTIONS; S 0, A E [0,1) 147 CHAPTER 8. EXTENSIONS 162 8.1.
NON-LIPSCHITZ NONLINEARITIES 162 8.2. APPLICATION OF THE PRINCIPLE OF
LINEARIZED STABILITY 165 8.3. THE N-DIMENSIONAL NAVIER-STOKES SYSTEM 169
8.4. PARABOLIC PROBLEMS IN HOLDER SPACES 177 8.5. DISSIPATIVENESS IN
HOLDER SPACES 183 CONTENTS VII 8.6. EQUATIONS WITH MONOTONE OPERATORS
194 8.6.1. FORMULATION OF THE PROBLEM 194 8.6.2. COMPLETE CONTINUITY AND
DISSIPATIVENESS IN H 196 8.6.3. DEGENERATE PARABOLIC EQUATIONS 200
CHAPTER 9. APPENDIX 203 9.1. NOTATION, DEFINITIONS AND CONVENTIONS 203
9.2. ABSTRACT VERSION OF THE MAXIMUM PRINCIPLE 211 9.3. L(FL) ESTIMATE
FOR SECOND ORDER PROBLEMS 213 9.4. COMPARISON OF X A SOLUTION WITH OTHER
TYPES OF SOLUTIONS 217 9.5. FINAL REMARKS 222 BIBLIOGRAPHY 225 INDEX 234
|
| any_adam_object | 1 |
| author | Cholewa, Jan W. Dlotko, Tomasz |
| author_facet | Cholewa, Jan W. Dlotko, Tomasz |
| author_role | aut aut |
| author_sort | Cholewa, Jan W. |
| author_variant | j w c jw jwc t d td |
| building | Verbundindex |
| bvnumber | BV013322516 |
| classification_rvk | SI 320 SK 560 |
| ctrlnum | (OCoLC)247396800 (DE-599)BVBBV013322516 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02018nam a2200469 cb4500</leader><controlfield tag="001">BV013322516</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220216 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">000831s2000 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521794242</subfield><subfield code="9">0-521-79424-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)247396800</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013322516</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.353</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 320</subfield><subfield code="0">(DE-625)143123:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 560</subfield><subfield code="0">(DE-625)143246:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cholewa, Jan W.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Global attractors in abstract parabolic problems</subfield><subfield code="c">Jan W. Cholewa & Tomasz Dlotko</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 235 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society: London Mathematical Society lecture note series</subfield><subfield code="v">278</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Attraktor - Parabolische Differentialgleichung</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Parabolische Differentialgleichung</subfield><subfield code="0">(DE-588)4173245-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dissipatives System</subfield><subfield code="0">(DE-588)4209641-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Attraktor</subfield><subfield code="0">(DE-588)4140563-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Attraktor</subfield><subfield code="0">(DE-588)4140563-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Parabolische Differentialgleichung</subfield><subfield code="0">(DE-588)4173245-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Dissipatives System</subfield><subfield code="0">(DE-588)4209641-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dlotko, Tomasz</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society: London Mathematical Society lecture note series</subfield><subfield code="v">278</subfield><subfield code="w">(DE-604)BV000000130</subfield><subfield code="9">278</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009085123&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009085123</subfield></datafield></record></collection> |
| id | DE-604.BV013322516 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:43:48Z |
| institution | BVB |
| isbn | 0521794242 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009085123 |
| oclc_num | 247396800 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-11 DE-188 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-11 DE-188 |
| physical | XII, 235 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Cholewa, Jan W. Verfasser aut Global attractors in abstract parabolic problems Jan W. Cholewa & Tomasz Dlotko 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2000 XII, 235 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 278 Attraktor - Parabolische Differentialgleichung Dynamisches System (DE-588)4013396-5 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Dissipatives System (DE-588)4209641-8 gnd rswk-swf Attraktor (DE-588)4140563-8 gnd rswk-swf Attraktor (DE-588)4140563-8 s Parabolische Differentialgleichung (DE-588)4173245-5 s Dissipatives System (DE-588)4209641-8 s Dynamisches System (DE-588)4013396-5 s DE-604 Dlotko, Tomasz Verfasser aut London Mathematical Society: London Mathematical Society lecture note series 278 (DE-604)BV000000130 278 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009085123&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cholewa, Jan W. Dlotko, Tomasz Global attractors in abstract parabolic problems London Mathematical Society: London Mathematical Society lecture note series Attraktor - Parabolische Differentialgleichung Dynamisches System (DE-588)4013396-5 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd Dissipatives System (DE-588)4209641-8 gnd Attraktor (DE-588)4140563-8 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4173245-5 (DE-588)4209641-8 (DE-588)4140563-8 |
| title | Global attractors in abstract parabolic problems |
| title_auth | Global attractors in abstract parabolic problems |
| title_exact_search | Global attractors in abstract parabolic problems |
| title_full | Global attractors in abstract parabolic problems Jan W. Cholewa & Tomasz Dlotko |
| title_fullStr | Global attractors in abstract parabolic problems Jan W. Cholewa & Tomasz Dlotko |
| title_full_unstemmed | Global attractors in abstract parabolic problems Jan W. Cholewa & Tomasz Dlotko |
| title_short | Global attractors in abstract parabolic problems |
| title_sort | global attractors in abstract parabolic problems |
| topic | Attraktor - Parabolische Differentialgleichung Dynamisches System (DE-588)4013396-5 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd Dissipatives System (DE-588)4209641-8 gnd Attraktor (DE-588)4140563-8 gnd |
| topic_facet | Attraktor - Parabolische Differentialgleichung Dynamisches System Parabolische Differentialgleichung Dissipatives System Attraktor |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009085123&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT cholewajanw globalattractorsinabstractparabolicproblems AT dlotkotomasz globalattractorsinabstractparabolicproblems |