Calculus of Variations and Partial Differential Equations: Topics on Geometrical Evolution Problems and Degree Theory
Saved in:
Main Author: | |
---|---|
Format: | Electronic eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2000
|
Subjects: | |
Links: | https://doi.org/10.1007/978-3-642-57186-2 |
Item Description: | The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results |
Physical Description: | 1 Online-Ressource (IX, 347p) |
ISBN: | 9783642571862 9783540648031 |
DOI: | 10.1007/978-3-642-57186-2 |
Staff View
MARC
LEADER | 00000nam a2200000zc 4500 | ||
---|---|---|---|
001 | BV042422667 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s2000 xx o|||| 00||| eng d | ||
020 | |a 9783642571862 |c Online |9 978-3-642-57186-2 | ||
020 | |a 9783540648031 |c Print |9 978-3-540-64803-1 | ||
024 | 7 | |a 10.1007/978-3-642-57186-2 |2 doi | |
035 | |a (OCoLC)905445163 | ||
035 | |a (DE-599)BVBBV042422667 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
082 | 0 | |a 515.64 |2 23 | |
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Ambrosio, Luigi |e Verfasser |4 aut | |
245 | 1 | 0 | |a Calculus of Variations and Partial Differential Equations |b Topics on Geometrical Evolution Problems and Degree Theory |c by Luigi Ambrosio, Norman Dancer ; edited by Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy |
264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 2000 | |
300 | |a 1 Online-Ressource (IX, 347p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Systems theory | |
650 | 4 | |a Mathematical optimization | |
650 | 4 | |a Calculus of Variations and Optimal Control; Optimization | |
650 | 4 | |a Systems Theory, Control | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Abbildungsgrad |0 (DE-588)4140975-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |2 gnd |9 rswk-swf |
655 | 7 | |8 1\p |0 (DE-588)4143413-4 |a Aufsatzsammlung |2 gnd-content | |
655 | 7 | |8 2\p |0 (DE-588)1071861417 |a Konferenzschrift |y 1996 |z Pisa |2 gnd-content | |
689 | 0 | 0 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |D s |
689 | 0 | 1 | |a Abbildungsgrad |0 (DE-588)4140975-9 |D s |
689 | 0 | |8 3\p |5 DE-604 | |
700 | 1 | |a Dancer, Norman |e Sonstige |4 oth | |
700 | 1 | |a Buttazzo, Giuseppe |e Sonstige |4 oth | |
700 | 1 | |a Marino, Antonio |e Sonstige |4 oth | |
700 | 1 | |a Murthy, M. K. V. |e Sonstige |4 oth | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-57186-2 |x Verlag |3 Volltext |
912 | |a ZDB-2-SMA | ||
912 | |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027858084 |
Record in the Search Index
DE-BY-TUM_katkey | 2069676 |
---|---|
_version_ | 1821931349044363265 |
any_adam_object | |
author | Ambrosio, Luigi |
author_facet | Ambrosio, Luigi |
author_role | aut |
author_sort | Ambrosio, Luigi |
author_variant | l a la |
building | Verbundindex |
bvnumber | BV042422667 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)905445163 (DE-599)BVBBV042422667 |
dewey-full | 515.64 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.64 |
dewey-search | 515.64 |
dewey-sort | 3515.64 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-642-57186-2 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03336nam a2200601zc 4500</leader><controlfield tag="001">BV042422667</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2000 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642571862</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-57186-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540648031</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-540-64803-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-57186-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)905445163</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422667</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-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.64</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ambrosio, Luigi</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Calculus of Variations and Partial Differential Equations</subfield><subfield code="b">Topics on Geometrical Evolution Problems and Degree Theory</subfield><subfield code="c">by Luigi Ambrosio, Norman Dancer ; edited by Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (IX, 347p)</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="500" ind1=" " ind2=" "><subfield code="a">The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of Variations and Optimal Control; Optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems Theory, Control</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Abbildungsgrad</subfield><subfield code="0">(DE-588)4140975-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Evolutionsgleichung</subfield><subfield code="0">(DE-588)4129061-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4143413-4</subfield><subfield code="a">Aufsatzsammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">2\p</subfield><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="y">1996</subfield><subfield code="z">Pisa</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Evolutionsgleichung</subfield><subfield code="0">(DE-588)4129061-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Abbildungsgrad</subfield><subfield code="0">(DE-588)4140975-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dancer, Norman</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Buttazzo, Giuseppe</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Marino, Antonio</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Murthy, M. K. V.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-57186-2</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</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="883" ind1="1" ind2=" "><subfield code="8">2\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="883" ind1="1" ind2=" "><subfield code="8">3\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="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858084</subfield></datafield></record></collection> |
genre | 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)1071861417 Konferenzschrift 1996 Pisa gnd-content |
genre_facet | Aufsatzsammlung Konferenzschrift 1996 Pisa |
id | DE-604.BV042422667 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:10:47Z |
institution | BVB |
isbn | 9783642571862 9783540648031 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858084 |
oclc_num | 905445163 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (IX, 347p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 2000 |
publishDateSearch | 2000 |
publishDateSort | 2000 |
publisher | Springer Berlin Heidelberg |
record_format | marc |
spellingShingle | Ambrosio, Luigi Calculus of Variations and Partial Differential Equations Topics on Geometrical Evolution Problems and Degree Theory Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Mathematik Abbildungsgrad (DE-588)4140975-9 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
subject_GND | (DE-588)4140975-9 (DE-588)4129061-6 (DE-588)4143413-4 (DE-588)1071861417 |
title | Calculus of Variations and Partial Differential Equations Topics on Geometrical Evolution Problems and Degree Theory |
title_auth | Calculus of Variations and Partial Differential Equations Topics on Geometrical Evolution Problems and Degree Theory |
title_exact_search | Calculus of Variations and Partial Differential Equations Topics on Geometrical Evolution Problems and Degree Theory |
title_full | Calculus of Variations and Partial Differential Equations Topics on Geometrical Evolution Problems and Degree Theory by Luigi Ambrosio, Norman Dancer ; edited by Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy |
title_fullStr | Calculus of Variations and Partial Differential Equations Topics on Geometrical Evolution Problems and Degree Theory by Luigi Ambrosio, Norman Dancer ; edited by Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy |
title_full_unstemmed | Calculus of Variations and Partial Differential Equations Topics on Geometrical Evolution Problems and Degree Theory by Luigi Ambrosio, Norman Dancer ; edited by Giuseppe Buttazzo, Antonio Marino, M. K. V. Murthy |
title_short | Calculus of Variations and Partial Differential Equations |
title_sort | calculus of variations and partial differential equations topics on geometrical evolution problems and degree theory |
title_sub | Topics on Geometrical Evolution Problems and Degree Theory |
topic | Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Mathematik Abbildungsgrad (DE-588)4140975-9 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
topic_facet | Mathematics Systems theory Mathematical optimization Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Mathematik Abbildungsgrad Evolutionsgleichung Aufsatzsammlung Konferenzschrift 1996 Pisa |
url | https://doi.org/10.1007/978-3-642-57186-2 |
work_keys_str_mv | AT ambrosioluigi calculusofvariationsandpartialdifferentialequationstopicsongeometricalevolutionproblemsanddegreetheory AT dancernorman calculusofvariationsandpartialdifferentialequationstopicsongeometricalevolutionproblemsanddegreetheory AT buttazzogiuseppe calculusofvariationsandpartialdifferentialequationstopicsongeometricalevolutionproblemsanddegreetheory AT marinoantonio calculusofvariationsandpartialdifferentialequationstopicsongeometricalevolutionproblemsanddegreetheory AT murthymkv calculusofvariationsandpartialdifferentialequationstopicsongeometricalevolutionproblemsanddegreetheory |