Monotone operators in Banach space and nonlinear partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[1997]
|
| Series: | Mathematical surveys and monographs
Volume 49 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 278 Seiten Illustrationen, Diagramme |
| ISBN: | 0821805002 9780821805008 9780821893975 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011372398 | ||
| 003 | DE-604 | ||
| 005 | 20250409 | ||
| 007 | t| | ||
| 008 | 970605s1997 xx a||| |||| 00||| eng d | ||
| 020 | |a 0821805002 |9 0-8218-0500-2 | ||
| 020 | |a 9780821805008 |9 978-0-8218-0500-8 | ||
| 020 | |a 9780821893975 |c softcover |9 978-0-8218-9397-5 | ||
| 035 | |a (OCoLC)246873577 | ||
| 035 | |a (DE-599)BVBBV011372398 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-29T |a DE-384 |a DE-83 |a DE-355 |a DE-188 |a DE-19 |a DE-91G |a DE-11 | ||
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 084 | |a 47H20 |2 msc | ||
| 084 | |a 35J65 |2 msc | ||
| 084 | |a MAT 462f |2 stub | ||
| 084 | |a 35K55 |2 msc | ||
| 084 | |a MAT 476f |2 stub | ||
| 084 | |a MAT 350f |2 stub | ||
| 084 | |a 47H05 |2 msc | ||
| 100 | 1 | |a Showalter, Ralph E. |d 1942- |0 (DE-588)136812031 |4 aut | |
| 245 | 1 | 0 | |a Monotone operators in Banach space and nonlinear partial differential equations |c R. E. Showalter |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1997] | |
| 264 | 4 | |c © 1997 | |
| 300 | |a xiii, 278 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v Volume 49 | |
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Monotoner Operator |0 (DE-588)4207161-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare partielle Differentialgleichung |0 (DE-588)4128900-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Monotoner Operator |0 (DE-588)4207161-6 |D s |
| 689 | 0 | 1 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Monotoner Operator |0 (DE-588)4207161-6 |D s |
| 689 | 1 | 1 | |a Nichtlineare partielle Differentialgleichung |0 (DE-588)4128900-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1280-7 |
| 830 | 0 | |a Mathematical surveys and monographs |v Volume 49 |w (DE-604)BV000018014 |9 49 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007642035&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007642035 | |
Record in the Search Index
| _version_ | 1828933868270387201 |
|---|---|
| adam_text |
Contents
Preface ix
PDE Examples by Type xiii
Chapter I. Linear Problems.an Introduction
1.1 Boundary Value Problems in 1 D 1
1.2 Variational Method in Hilbert Space 6
1.3 Applications to Stretched String Problems 12
1.4 Unbounded Operators 17
1.5 The Cauchy Problem 22
1.6 Wave Equations 30
Chapter II. Nonlinear Stationary Problems
II. 1 Banach Spaces 35
11.2 Existence Theorems 37
11.3 W Spaces 44
11.4 Sobolev Spaces 51
11.5 Elliptic Boundary Value Problems 59
11.6 Variational Inequalities and Quasimonotone Operators 69
II. 7 Convex Functions 78
11.8 Examples 85
11.9 Elliptic Equations in L1 93
Chapter III. Nonlinear Evolution Problems
111.1 Vector valued Functions 103
111.2 Linear Evolution Equations 107
111.3 Linear Degenerate Equations 114
111.4 Nonlinear Parabolic Equations 120
111.5 Abstract Difference Approximations 127
111.6 Degenerate Parabolic Equations 134
111.7 Variational Inequalities 144
Chapter IV. Accretive Operators and Nonlinear Cauchy Problems
IV.l Accretive Operators in Hilbert Space 155
IV.2 Examples of m accretive Operators 163
IV.3 The Cauchy Problem in Hilbert Space 171
IV.4 Additional Topics and Evolution Equations 179
IV.5 Parabolic Equations and Inequalities 191
IV.6 Semilinear Degenerate Evolution Equations 201
vii
viii CONTENTS
IV.7 Accretive Operators in Banach Space 210
IV.8 The Cauchy Problem in General Banach Space 218
IV.9 Evolution Equations in L1 232
Appendix: Applications
A.I Heat Conduction 241
A.2 Flow in Porous Media 253
A.3 Continuum Mechanics 256
Bibliography 267
Index 271 |
| any_adam_object | 1 |
| author | Showalter, Ralph E. 1942- |
| author_GND | (DE-588)136812031 |
| author_facet | Showalter, Ralph E. 1942- |
| author_role | aut |
| author_sort | Showalter, Ralph E. 1942- |
| author_variant | r e s re res |
| building | Verbundindex |
| bvnumber | BV011372398 |
| classification_rvk | SK 620 |
| classification_tum | MAT 462f MAT 476f MAT 350f |
| ctrlnum | (OCoLC)246873577 (DE-599)BVBBV011372398 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV011372398</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20250409</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">970605s1997 xx a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821805002</subfield><subfield code="9">0-8218-0500-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821805008</subfield><subfield code="9">978-0-8218-0500-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821893975</subfield><subfield code="c">softcover</subfield><subfield code="9">978-0-8218-9397-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246873577</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011372398</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">47H20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35J65</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 462f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35K55</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 476f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 350f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">47H05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Showalter, Ralph E.</subfield><subfield code="d">1942-</subfield><subfield code="0">(DE-588)136812031</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Monotone operators in Banach space and nonlinear partial differential equations</subfield><subfield code="c">R. E. Showalter</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">[1997]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiii, 278 Seiten</subfield><subfield code="b">Illustrationen, Diagramme</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">Mathematical surveys and monographs</subfield><subfield code="v">Volume 49</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Monotoner Operator</subfield><subfield code="0">(DE-588)4207161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4128900-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Monotoner Operator</subfield><subfield code="0">(DE-588)4207161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Monotoner Operator</subfield><subfield code="0">(DE-588)4207161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Nichtlineare partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4128900-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-1280-7</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">Volume 49</subfield><subfield code="w">(DE-604)BV000018014</subfield><subfield code="9">49</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=007642035&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007642035</subfield></datafield></record></collection> |
| id | DE-604.BV011372398 |
| illustrated | Illustrated |
| indexdate | 2025-04-09T14:00:56Z |
| institution | BVB |
| isbn | 0821805002 9780821805008 9780821893975 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007642035 |
| oclc_num | 246873577 |
| open_access_boolean | |
| owner | DE-12 DE-29T DE-384 DE-83 DE-355 DE-BY-UBR DE-188 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-11 |
| owner_facet | DE-12 DE-29T DE-384 DE-83 DE-355 DE-BY-UBR DE-188 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-11 |
| physical | xiii, 278 Seiten Illustrationen, Diagramme |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Showalter, Ralph E. 1942- (DE-588)136812031 aut Monotone operators in Banach space and nonlinear partial differential equations R. E. Showalter Providence, Rhode Island American Mathematical Society [1997] © 1997 xiii, 278 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs Volume 49 Banach-Raum (DE-588)4004402-6 gnd rswk-swf Monotoner Operator (DE-588)4207161-6 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Monotoner Operator (DE-588)4207161-6 s Banach-Raum (DE-588)4004402-6 s DE-604 Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Erscheint auch als Online-Ausgabe 978-1-4704-1280-7 Mathematical surveys and monographs Volume 49 (DE-604)BV000018014 49 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007642035&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Showalter, Ralph E. 1942- Monotone operators in Banach space and nonlinear partial differential equations Mathematical surveys and monographs Banach-Raum (DE-588)4004402-6 gnd Monotoner Operator (DE-588)4207161-6 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4207161-6 (DE-588)4128900-6 |
| title | Monotone operators in Banach space and nonlinear partial differential equations |
| title_auth | Monotone operators in Banach space and nonlinear partial differential equations |
| title_exact_search | Monotone operators in Banach space and nonlinear partial differential equations |
| title_full | Monotone operators in Banach space and nonlinear partial differential equations R. E. Showalter |
| title_fullStr | Monotone operators in Banach space and nonlinear partial differential equations R. E. Showalter |
| title_full_unstemmed | Monotone operators in Banach space and nonlinear partial differential equations R. E. Showalter |
| title_short | Monotone operators in Banach space and nonlinear partial differential equations |
| title_sort | monotone operators in banach space and nonlinear partial differential equations |
| topic | Banach-Raum (DE-588)4004402-6 gnd Monotoner Operator (DE-588)4207161-6 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Banach-Raum Monotoner Operator Nichtlineare partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007642035&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT showalterralphe monotoneoperatorsinbanachspaceandnonlinearpartialdifferentialequations |