Nonlinear semigroups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Japanese |
| Published: |
Providence, RI
American Mathemat. Soc.
1992
|
| Series: | Translations of mathematical monographs
109 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Japan. übers. |
| Physical Description: | VIII, 230 S. |
| ISBN: | 0821845659 |
Staff View
MARC
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| 100 | 1 | |a Miyadera, Isao |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Hisenkei-hangun |
| 245 | 1 | 0 | |a Nonlinear semigroups |c Isao Miyadera |
| 264 | 1 | |a Providence, RI |b American Mathemat. Soc. |c 1992 | |
| 300 | |a VIII, 230 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 109 | |
| 500 | |a Aus d. Japan. übers. | ||
| 650 | 4 | |a Opérateurs non linéaires | |
| 650 | 7 | |a Opérateurs non-linéaires |2 ram | |
| 650 | 4 | |a Semi-groupes d'opérateurs | |
| 650 | 7 | |a Semigroupes d'opérateurs |2 ram | |
| 650 | 4 | |a Nonlinear operators | |
| 650 | 4 | |a Semigroups of operators | |
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| 650 | 0 | 7 | |a Halbgruppe |0 (DE-588)4022990-7 |2 gnd |9 rswk-swf |
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| 689 | 0 | 0 | |a Nichtlinearer Operator |0 (DE-588)4225824-8 |D s |
| 689 | 0 | 1 | |a Halbgruppe |0 (DE-588)4022990-7 |D s |
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Record in the Search Index
| _version_ | 1804121383881408512 |
|---|---|
| adam_text | Contents
Preface vii
Chapter 1. Basic Results of Functional Analysis 1
§1. Banach spaces 1
§2. Conjugate spaces and the weak topology 3
§3. Functions with values in a Banach space 7
Chapter 2. Dissipative Operators 13
§ 1. The duality mapping 13
§2. Dissipative operators 19
§3. Properties of maximal dissipative and w dissipative operators 30
Chapter 3. Semigroups of Nonlinear Contractions 45
§ 1. Semigroups of contractions 45
§2. Denseness of D 58
§3. Approximation of semigroups of contractions and the
exponential formula 66
Chapter 4. Generation of Semigroups of Nonlinear Contractions 77
§ 1. Generation of semigroups of contractions I; the case of a
general Banach space 77
§2. Cauchy s problems 87
§3. Generation of semigroups of contractions II; the case where
X* is a uniformly convex Banach space 89
§4. Examples 104
Chapter 5. Cauchy Problems for Evolution Equations 121
§ 1. Integral solutions of Cauchy problems 121
§2. Difference approximations for Cauchy problems 130
§3. Existence and uniqueness of integral solutions; generation of
nonlinear semigroups 141
§4. Cauchy s problem for {d/dt)u{t) € Au(t) + f(t) 153
V
vi CONTENTS
Chapter 6. Convergence and Perturbation of Nonlinear Semigroups 163
§ 1. Convergence of dissipative operators 163
§2. Convergence of semigroups 167
§3. Perturbation of semigroups 178
§4. Applications of perturbation theorems; on the evolution
equation (d/dt)u(t) = A(t)u(t) 185
Chapter 7. Quasilinear Partial Differential Equations of First Order 193
§1. Preparation 193
§2. Cauchy s problem for quasilinear partial differential equations
of first order and its difference approximation 197
§3. Proof of Theorem 7.4 201
Appendix. The Minimax Theorem 215
Postscript 219
Bibliography 223
Subject Index 229
|
| any_adam_object | 1 |
| author | Miyadera, Isao |
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| callnumber-first | Q - Science |
| callnumber-label | QA329 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)25871700 (DE-599)BVBBV007180147 |
| dewey-full | 515/.7248 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7248 |
| dewey-search | 515/.7248 |
| dewey-sort | 3515 47248 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV007180147 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:57:07Z |
| institution | BVB |
| isbn | 0821845659 |
| language | English Japanese |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004589695 |
| oclc_num | 25871700 |
| open_access_boolean | |
| owner | DE-12 DE-355 DE-BY-UBR DE-11 DE-188 |
| owner_facet | DE-12 DE-355 DE-BY-UBR DE-11 DE-188 |
| physical | VIII, 230 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | American Mathemat. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Miyadera, Isao Verfasser aut Hisenkei-hangun Nonlinear semigroups Isao Miyadera Providence, RI American Mathemat. Soc. 1992 VIII, 230 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 109 Aus d. Japan. übers. Opérateurs non linéaires Opérateurs non-linéaires ram Semi-groupes d'opérateurs Semigroupes d'opérateurs ram Nonlinear operators Semigroups of operators Nichtlineare Halbgruppe (DE-588)4139678-9 gnd rswk-swf Halbgruppe (DE-588)4022990-7 gnd rswk-swf Nichtlinearer Operator (DE-588)4225824-8 gnd rswk-swf Nichtlinearer Operator (DE-588)4225824-8 s Halbgruppe (DE-588)4022990-7 s DE-604 Nichtlineare Halbgruppe (DE-588)4139678-9 s Translations of mathematical monographs 109 (DE-604)BV000002394 109 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004589695&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Miyadera, Isao Nonlinear semigroups Translations of mathematical monographs Opérateurs non linéaires Opérateurs non-linéaires ram Semi-groupes d'opérateurs Semigroupes d'opérateurs ram Nonlinear operators Semigroups of operators Nichtlineare Halbgruppe (DE-588)4139678-9 gnd Halbgruppe (DE-588)4022990-7 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd |
| subject_GND | (DE-588)4139678-9 (DE-588)4022990-7 (DE-588)4225824-8 |
| title | Nonlinear semigroups |
| title_alt | Hisenkei-hangun |
| title_auth | Nonlinear semigroups |
| title_exact_search | Nonlinear semigroups |
| title_full | Nonlinear semigroups Isao Miyadera |
| title_fullStr | Nonlinear semigroups Isao Miyadera |
| title_full_unstemmed | Nonlinear semigroups Isao Miyadera |
| title_short | Nonlinear semigroups |
| title_sort | nonlinear semigroups |
| topic | Opérateurs non linéaires Opérateurs non-linéaires ram Semi-groupes d'opérateurs Semigroupes d'opérateurs ram Nonlinear operators Semigroups of operators Nichtlineare Halbgruppe (DE-588)4139678-9 gnd Halbgruppe (DE-588)4022990-7 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd |
| topic_facet | Opérateurs non linéaires Opérateurs non-linéaires Semi-groupes d'opérateurs Semigroupes d'opérateurs Nonlinear operators Semigroups of operators Nichtlineare Halbgruppe Halbgruppe Nichtlinearer Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004589695&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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