Spectral geometry of partial differential operators:
"The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral ge...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton ; London ; New York
CRC Press, Taylor & Francis Group
2020
|
| Ausgabe: | First edition |
| Schriftenreihe: | Monographs and research notes in mathematics
A Chapman & Hall book |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | "The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory"-- |
| Beschreibung: | 1 Online-Ressource (xi, 366 Seiten) |
| ISBN: | 9780429432965 9780429780554 9780429780561 9780429780578 0429432968 0429780559 0429780567 0429780575 |
| DOI: | 10.1201/9780429432965 |
Internformat
MARC
| LEADER | 00000nmm a22000008c 4500 | ||
|---|---|---|---|
| 001 | BV046422448 | ||
| 003 | DE-604 | ||
| 005 | 20230815 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 200213s2020 |||| o||u| ||||||eng d | ||
| 020 | |a 9780429432965 |c Online |9 978-0-429-43296-5 | ||
| 020 | |a 9780429780554 |q (electronic bk.. Mobipocket) |9 9780429780554 | ||
| 020 | |a 9780429780561 |q (electronic bk.. EPUB) |9 9780429780561 | ||
| 020 | |a 9780429780578 |q (electronic bk.. PDF) |9 9780429780578 | ||
| 020 | |a 0429432968 |q (electronic bk.) |9 0429432968 | ||
| 020 | |a 0429780559 |q (electronic bk.. Mobipocket) |9 0429780559 | ||
| 020 | |a 0429780567 |q (electronic bk.. EPUB) |9 0429780567 | ||
| 020 | |a 0429780575 |q (electronic bk.. PDF) |9 0429780575 | ||
| 024 | 7 | |a 10.1201/9780429432965 |2 doi | |
| 035 | |a (ZDB-94-OAB)DOAB44388 | ||
| 035 | |a (OCoLC)1141151497 | ||
| 035 | |a (DE-599)BVBBV046422448 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-634 |a DE-210 |a DE-521 |a DE-1102 |a DE-1046 |a DE-1028 |a DE-1050 |a DE-573 |a DE-M347 |a DE-92 |a DE-1051 |a DE-898 |a DE-859 |a DE-860 |a DE-1049 |a DE-863 |a DE-862 |a DE-Re13 |a DE-Y3 |a DE-255 |a DE-Y7 |a DE-Y2 |a DE-70 |a DE-2174 |a DE-127 |a DE-22 |a DE-155 |a DE-91 |a DE-384 |a DE-473 |a DE-19 |a DE-355 |a DE-703 |a DE-20 |a DE-706 |a DE-824 |a DE-29 |a DE-739 | ||
| 100 | 1 | |a Ruzhansky, Michael |d 1972- |e Verfasser |0 (DE-588)139579605 |4 aut | |
| 245 | 1 | 0 | |a Spectral geometry of partial differential operators |c Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan |
| 250 | |a First edition | ||
| 264 | 1 | |a Boca Raton ; London ; New York |b CRC Press, Taylor & Francis Group |c 2020 | |
| 300 | |a 1 Online-Ressource (xi, 366 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Monographs and research notes in mathematics | |
| 490 | 0 | |a A Chapman & Hall book | |
| 505 | 8 | |a Functional spaces -- Foundations of linear operator theory -- Elements of the spectral theory of differential operators -- Symmetric decreasing rearrangements and applications -- Inequalities of spectral geometry | |
| 520 | 3 | |a "The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory"-- | |
| 650 | 0 | 7 | |a Partieller Differentialoperator |0 (DE-588)4173439-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spektralgeometrie |0 (DE-588)4128531-1 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Spectral geometry | |
| 653 | 0 | |a Partial differential operators | |
| 689 | 0 | 0 | |a Spektralgeometrie |0 (DE-588)4128531-1 |D s |
| 689 | 0 | 1 | |a Partieller Differentialoperator |0 (DE-588)4173439-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Sadybekov, Makhmud A. |e Verfasser |0 (DE-588)1156309271 |4 aut | |
| 700 | 1 | |a Suragan, Durvudkhan |e Verfasser |0 (DE-588)1199404292 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, hardback |z 978-1-138-36071-6 |
| 856 | 4 | 0 | |u https://doi.org/10.1201/9780429432965 |x Verlag |z kostenfrei |3 Volltext |
| 856 | 4 | 0 | |u https://www.doabooks.org/doab?func=fulltext&uiLanguage=en&rid=44388 https://doi.org/10.1201/9780429432965 |x Verlag |z kostenfrei |3 Volltext |
| 912 | |a ZDB-7-TOA |a ZDB-94-OAB |a ZDB-4-EOAC | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-031834849 | |
Datensatz im Suchindex
| _version_ | 1813306381002866688 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Ruzhansky, Michael 1972- Sadybekov, Makhmud A. Suragan, Durvudkhan |
| author_GND | (DE-588)139579605 (DE-588)1156309271 (DE-588)1199404292 |
| author_facet | Ruzhansky, Michael 1972- Sadybekov, Makhmud A. Suragan, Durvudkhan |
| author_role | aut aut aut |
| author_sort | Ruzhansky, Michael 1972- |
| author_variant | m r mr m a s ma mas d s ds |
| building | Verbundindex |
| bvnumber | BV046422448 |
| collection | ZDB-7-TOA ZDB-94-OAB ZDB-4-EOAC |
| contents | Functional spaces -- Foundations of linear operator theory -- Elements of the spectral theory of differential operators -- Symmetric decreasing rearrangements and applications -- Inequalities of spectral geometry |
| ctrlnum | (ZDB-94-OAB)DOAB44388 (OCoLC)1141151497 (DE-599)BVBBV046422448 |
| doi_str_mv | 10.1201/9780429432965 |
| edition | First edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nmm a22000008c 4500</leader><controlfield tag="001">BV046422448</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230815</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">200213s2020 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780429432965</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-429-43296-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780429780554</subfield><subfield code="q">(electronic bk.. Mobipocket)</subfield><subfield code="9">9780429780554</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780429780561</subfield><subfield code="q">(electronic bk.. EPUB)</subfield><subfield code="9">9780429780561</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780429780578</subfield><subfield code="q">(electronic bk.. PDF)</subfield><subfield code="9">9780429780578</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0429432968</subfield><subfield code="q">(electronic bk.)</subfield><subfield code="9">0429432968</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0429780559</subfield><subfield code="q">(electronic bk.. Mobipocket)</subfield><subfield code="9">0429780559</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0429780567</subfield><subfield code="q">(electronic bk.. EPUB)</subfield><subfield code="9">0429780567</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0429780575</subfield><subfield code="q">(electronic bk.. PDF)</subfield><subfield code="9">0429780575</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1201/9780429432965</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-94-OAB)DOAB44388</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1141151497</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046422448</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-634</subfield><subfield code="a">DE-210</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-1102</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-1028</subfield><subfield code="a">DE-1050</subfield><subfield code="a">DE-573</subfield><subfield code="a">DE-M347</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-1051</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-1049</subfield><subfield code="a">DE-863</subfield><subfield code="a">DE-862</subfield><subfield code="a">DE-Re13</subfield><subfield code="a">DE-Y3</subfield><subfield code="a">DE-255</subfield><subfield code="a">DE-Y7</subfield><subfield code="a">DE-Y2</subfield><subfield code="a">DE-70</subfield><subfield code="a">DE-2174</subfield><subfield code="a">DE-127</subfield><subfield code="a">DE-22</subfield><subfield code="a">DE-155</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ruzhansky, Michael</subfield><subfield code="d">1972-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139579605</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spectral geometry of partial differential operators</subfield><subfield code="c">Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">First edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton ; London ; New York</subfield><subfield code="b">CRC Press, Taylor & Francis Group</subfield><subfield code="c">2020</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xi, 366 Seiten)</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="490" ind1="0" ind2=" "><subfield code="a">Monographs and research notes in mathematics</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">A Chapman & Hall book</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Functional spaces -- Foundations of linear operator theory -- Elements of the spectral theory of differential operators -- Symmetric decreasing rearrangements and applications -- Inequalities of spectral geometry</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">"The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory"--</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partieller Differentialoperator</subfield><subfield code="0">(DE-588)4173439-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektralgeometrie</subfield><subfield code="0">(DE-588)4128531-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Spectral geometry</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Partial differential operators</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Spektralgeometrie</subfield><subfield code="0">(DE-588)4128531-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Partieller Differentialoperator</subfield><subfield code="0">(DE-588)4173439-7</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">Sadybekov, Makhmud A.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1156309271</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Suragan, Durvudkhan</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1199404292</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, hardback</subfield><subfield code="z">978-1-138-36071-6</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1201/9780429432965</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.doabooks.org/doab?func=fulltext&uiLanguage=en&rid=44388 https://doi.org/10.1201/9780429432965</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-7-TOA</subfield><subfield code="a">ZDB-94-OAB</subfield><subfield code="a">ZDB-4-EOAC</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-031834849</subfield></datafield></record></collection> |
| id | DE-604.BV046422448 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-19T04:08:43Z |
| institution | BVB |
| isbn | 9780429432965 9780429780554 9780429780561 9780429780578 0429432968 0429780559 0429780567 0429780575 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031834849 |
| oclc_num | 1141151497 |
| open_access_boolean | 1 |
| owner | DE-12 DE-634 DE-210 DE-521 DE-1102 DE-1046 DE-1028 DE-1050 DE-573 DE-M347 DE-92 DE-1051 DE-898 DE-BY-UBR DE-859 DE-860 DE-1049 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-Re13 DE-BY-UBR DE-Y3 DE-255 DE-Y7 DE-Y2 DE-70 DE-2174 DE-127 DE-22 DE-BY-UBG DE-155 DE-BY-UBR DE-91 DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-703 DE-20 DE-706 DE-824 DE-29 DE-739 |
| owner_facet | DE-12 DE-634 DE-210 DE-521 DE-1102 DE-1046 DE-1028 DE-1050 DE-573 DE-M347 DE-92 DE-1051 DE-898 DE-BY-UBR DE-859 DE-860 DE-1049 DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-Re13 DE-BY-UBR DE-Y3 DE-255 DE-Y7 DE-Y2 DE-70 DE-2174 DE-127 DE-22 DE-BY-UBG DE-155 DE-BY-UBR DE-91 DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-703 DE-20 DE-706 DE-824 DE-29 DE-739 |
| physical | 1 Online-Ressource (xi, 366 Seiten) |
| psigel | ZDB-7-TOA ZDB-94-OAB ZDB-4-EOAC |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | CRC Press, Taylor & Francis Group |
| record_format | marc |
| series2 | Monographs and research notes in mathematics A Chapman & Hall book |
| spellingShingle | Ruzhansky, Michael 1972- Sadybekov, Makhmud A. Suragan, Durvudkhan Spectral geometry of partial differential operators Functional spaces -- Foundations of linear operator theory -- Elements of the spectral theory of differential operators -- Symmetric decreasing rearrangements and applications -- Inequalities of spectral geometry Partieller Differentialoperator (DE-588)4173439-7 gnd Spektralgeometrie (DE-588)4128531-1 gnd |
| subject_GND | (DE-588)4173439-7 (DE-588)4128531-1 |
| title | Spectral geometry of partial differential operators |
| title_auth | Spectral geometry of partial differential operators |
| title_exact_search | Spectral geometry of partial differential operators |
| title_full | Spectral geometry of partial differential operators Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan |
| title_fullStr | Spectral geometry of partial differential operators Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan |
| title_full_unstemmed | Spectral geometry of partial differential operators Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan |
| title_short | Spectral geometry of partial differential operators |
| title_sort | spectral geometry of partial differential operators |
| topic | Partieller Differentialoperator (DE-588)4173439-7 gnd Spektralgeometrie (DE-588)4128531-1 gnd |
| topic_facet | Partieller Differentialoperator Spektralgeometrie |
| url | https://doi.org/10.1201/9780429432965 https://www.doabooks.org/doab?func=fulltext&uiLanguage=en&rid=44388 https://doi.org/10.1201/9780429432965 |
| work_keys_str_mv | AT ruzhanskymichael spectralgeometryofpartialdifferentialoperators AT sadybekovmakhmuda spectralgeometryofpartialdifferentialoperators AT suragandurvudkhan spectralgeometryofpartialdifferentialoperators |