The analysis of harmonic maps and their heat flows:
This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in hig...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2008
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang. The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis |
| Beschreibung: | xi, 267 p |
| ISBN: | 9812779531 9789812779533 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV044635307 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 171120s2008 |||| o||u| ||||||eng d | ||
| 020 | |a 9812779531 |c electronic bk. |9 981-277-953-1 | ||
| 020 | |a 9789812779533 |c electronic bk. |9 978-981-277-953-3 | ||
| 024 | 7 | |a 10.1142/6679 |2 doi | |
| 035 | |a (ZDB-124-WOP)00000289 | ||
| 035 | |a (OCoLC)1012664523 | ||
| 035 | |a (DE-599)BVBBV044635307 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-92 | ||
| 082 | 0 | |a 514.74 |2 22 | |
| 100 | 1 | |a Lin, Fanghua |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The analysis of harmonic maps and their heat flows |c Fanghua Lin, Changyou Wang |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2008 | |
| 300 | |a xi, 267 p | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 520 | |a This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang. The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis | ||
| 650 | 4 | |a Harmonic maps / Textbooks | |
| 650 | 4 | |a Heat equation / Textbooks | |
| 650 | 4 | |a Riemannian manifolds / Textbooks | |
| 650 | 0 | 7 | |a Harmonische Abbildung |0 (DE-588)4023452-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wärmestrom |0 (DE-588)4121893-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wärmestrom |0 (DE-588)4121893-0 |D s |
| 689 | 0 | 1 | |a Harmonische Abbildung |0 (DE-588)4023452-6 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Wang, Changyou |d 1967- |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u http://www.worldscientific.com/worldscibooks/10.1142/6679#t=toc |x Verlag |z URL des Erstveroeffentlichers |3 Volltext |
| 912 | |a ZDB-124-WOP | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030033279 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://www.worldscientific.com/worldscibooks/10.1142/6679#t=toc |l FHN01 |p ZDB-124-WOP |q FHN_PDA_WOP |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804178048166133760 |
|---|---|
| any_adam_object | |
| author | Lin, Fanghua |
| author_facet | Lin, Fanghua |
| author_role | aut |
| author_sort | Lin, Fanghua |
| author_variant | f l fl |
| building | Verbundindex |
| bvnumber | BV044635307 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00000289 (OCoLC)1012664523 (DE-599)BVBBV044635307 |
| dewey-full | 514.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.74 |
| dewey-search | 514.74 |
| dewey-sort | 3514.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02868nmm a2200469zc 4500</leader><controlfield tag="001">BV044635307</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">171120s2008 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812779531</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">981-277-953-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812779533</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-981-277-953-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/6679</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00000289 </subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1012664523</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044635307</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.74</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lin, Fanghua</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The analysis of harmonic maps and their heat flows</subfield><subfield code="c">Fanghua Lin, Changyou Wang</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Pub. Co.</subfield><subfield code="c">c2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xi, 267 p</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang. The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Harmonic maps / Textbooks</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Heat equation / Textbooks</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Riemannian manifolds / Textbooks</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Harmonische Abbildung</subfield><subfield code="0">(DE-588)4023452-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wärmestrom</subfield><subfield code="0">(DE-588)4121893-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wärmestrom</subfield><subfield code="0">(DE-588)4121893-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Harmonische Abbildung</subfield><subfield code="0">(DE-588)4023452-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wang, Changyou</subfield><subfield code="d">1967-</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/6679#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveroeffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030033279</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/6679#t=toc</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="q">FHN_PDA_WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044635307 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9812779531 9789812779533 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033279 |
| oclc_num | 1012664523 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xi, 267 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Lin, Fanghua Verfasser aut The analysis of harmonic maps and their heat flows Fanghua Lin, Changyou Wang Singapore World Scientific Pub. Co. c2008 xi, 267 p txt rdacontent c rdamedia cr rdacarrier This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang. The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis Harmonic maps / Textbooks Heat equation / Textbooks Riemannian manifolds / Textbooks Harmonische Abbildung (DE-588)4023452-6 gnd rswk-swf Wärmestrom (DE-588)4121893-0 gnd rswk-swf Wärmestrom (DE-588)4121893-0 s Harmonische Abbildung (DE-588)4023452-6 s 1\p DE-604 Wang, Changyou 1967- Sonstige oth http://www.worldscientific.com/worldscibooks/10.1142/6679#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lin, Fanghua The analysis of harmonic maps and their heat flows Harmonic maps / Textbooks Heat equation / Textbooks Riemannian manifolds / Textbooks Harmonische Abbildung (DE-588)4023452-6 gnd Wärmestrom (DE-588)4121893-0 gnd |
| subject_GND | (DE-588)4023452-6 (DE-588)4121893-0 |
| title | The analysis of harmonic maps and their heat flows |
| title_auth | The analysis of harmonic maps and their heat flows |
| title_exact_search | The analysis of harmonic maps and their heat flows |
| title_full | The analysis of harmonic maps and their heat flows Fanghua Lin, Changyou Wang |
| title_fullStr | The analysis of harmonic maps and their heat flows Fanghua Lin, Changyou Wang |
| title_full_unstemmed | The analysis of harmonic maps and their heat flows Fanghua Lin, Changyou Wang |
| title_short | The analysis of harmonic maps and their heat flows |
| title_sort | the analysis of harmonic maps and their heat flows |
| topic | Harmonic maps / Textbooks Heat equation / Textbooks Riemannian manifolds / Textbooks Harmonische Abbildung (DE-588)4023452-6 gnd Wärmestrom (DE-588)4121893-0 gnd |
| topic_facet | Harmonic maps / Textbooks Heat equation / Textbooks Riemannian manifolds / Textbooks Harmonische Abbildung Wärmestrom |
| url | http://www.worldscientific.com/worldscibooks/10.1142/6679#t=toc |
| work_keys_str_mv | AT linfanghua theanalysisofharmonicmapsandtheirheatflows AT wangchangyou theanalysisofharmonicmapsandtheirheatflows |