Non-standard and improperly posed problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego, Calif.
Academic Press
c1997
|
| Schriftenreihe: | Mathematics in science and engineering
v. 194 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations. This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. Key Features * Provides the first unified survey of the advances made in the last 15 years in the field * Includes an up-to-date compendium of the mathematical literature on these topics Includes bibliographical references (p. [284]-300) and index |
| Beschreibung: | 1 Online-Ressource (ix, 303 p.) |
| ISBN: | 9780120567454 0120567458 9780080537740 008053774X |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042317229 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150129s1997 |||| o||u| ||||||eng d | ||
| 020 | |a 9780120567454 |9 978-0-12-056745-4 | ||
| 020 | |a 0120567458 |9 0-12-056745-8 | ||
| 020 | |a 9780080537740 |c electronic bk. |9 978-0-08-053774-0 | ||
| 020 | |a 008053774X |c electronic bk. |9 0-08-053774-X | ||
| 035 | |a (ZDB-33-EBS)ocn162128864 | ||
| 035 | |a (OCoLC)162128864 | ||
| 035 | |a (DE-599)BVBBV042317229 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 | ||
| 082 | 0 | |a 530.15/5353 |2 22 | |
| 100 | 1 | |a Ames, Karen A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Non-standard and improperly posed problems |c Karen A. Ames and Brian Straughan |
| 264 | 1 | |a San Diego, Calif. |b Academic Press |c c1997 | |
| 300 | |a 1 Online-Ressource (ix, 303 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Mathematics in science and engineering |v v. 194 | |
| 500 | |a Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations. This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. Key Features * Provides the first unified survey of the advances made in the last 15 years in the field * Includes an up-to-date compendium of the mathematical literature on these topics | ||
| 500 | |a Includes bibliographical references (p. [284]-300) and index | ||
| 650 | 4 | |a Équations aux dérivées partielles / Problèmes mal posés | |
| 650 | 7 | |a SCIENCE / Physics / Mathematical & Computational |2 bisacsh | |
| 650 | 7 | |a Differential equations, Partial / Improperly posed problems |2 fast | |
| 650 | 4 | |a Differential equations, Partial |x Improperly posed problems | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |D s |
| 689 | 0 | 1 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Straughan, B. |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/book/9780120567454 |x Verlag |3 Volltext |
| 912 | |a ZDB-33-ESD |a ZDB-33-EBS | ||
| 940 | 1 | |q FAW_PDA_ESD | |
| 940 | 1 | |q FLA_PDA_ESD | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027754220 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804152913444995072 |
|---|---|
| any_adam_object | |
| author | Ames, Karen A. |
| author_facet | Ames, Karen A. |
| author_role | aut |
| author_sort | Ames, Karen A. |
| author_variant | k a a ka kaa |
| building | Verbundindex |
| bvnumber | BV042317229 |
| collection | ZDB-33-ESD ZDB-33-EBS |
| ctrlnum | (ZDB-33-EBS)ocn162128864 (OCoLC)162128864 (DE-599)BVBBV042317229 |
| dewey-full | 530.15/5353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15/5353 |
| dewey-search | 530.15/5353 |
| dewey-sort | 3530.15 45353 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03613nmm a2200529zcb4500</leader><controlfield tag="001">BV042317229</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150129s1997 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780120567454</subfield><subfield code="9">978-0-12-056745-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0120567458</subfield><subfield code="9">0-12-056745-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080537740</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-0-08-053774-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">008053774X</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">0-08-053774-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-33-EBS)ocn162128864</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)162128864</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042317229</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-1046</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.15/5353</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ames, Karen A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Non-standard and improperly posed problems</subfield><subfield code="c">Karen A. Ames and Brian Straughan</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">San Diego, Calif.</subfield><subfield code="b">Academic Press</subfield><subfield code="c">c1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (ix, 303 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="490" ind1="0" ind2=" "><subfield code="a">Mathematics in science and engineering</subfield><subfield code="v">v. 194</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations. This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. Key Features * Provides the first unified survey of the advances made in the last 15 years in the field * Includes an up-to-date compendium of the mathematical literature on these topics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. [284]-300) and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Équations aux dérivées partielles / Problèmes mal posés</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE / Physics / Mathematical & Computational</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differential equations, Partial / Improperly posed problems</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</subfield><subfield code="x">Improperly posed problems</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inkorrekt gestelltes Problem</subfield><subfield code="0">(DE-588)4186951-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Inkorrekt gestelltes Problem</subfield><subfield code="0">(DE-588)4186951-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</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">Straughan, B.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.sciencedirect.com/science/book/9780120567454</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-33-ESD</subfield><subfield code="a">ZDB-33-EBS</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FAW_PDA_ESD</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FLA_PDA_ESD</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027754220</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></record></collection> |
| id | DE-604.BV042317229 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780120567454 0120567458 9780080537740 008053774X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754220 |
| oclc_num | 162128864 |
| open_access_boolean | |
| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (ix, 303 p.) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Academic Press |
| record_format | marc |
| series2 | Mathematics in science and engineering |
| spelling | Ames, Karen A. Verfasser aut Non-standard and improperly posed problems Karen A. Ames and Brian Straughan San Diego, Calif. Academic Press c1997 1 Online-Ressource (ix, 303 p.) txt rdacontent c rdamedia cr rdacarrier Mathematics in science and engineering v. 194 Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations. This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. Key Features * Provides the first unified survey of the advances made in the last 15 years in the field * Includes an up-to-date compendium of the mathematical literature on these topics Includes bibliographical references (p. [284]-300) and index Équations aux dérivées partielles / Problèmes mal posés SCIENCE / Physics / Mathematical & Computational bisacsh Differential equations, Partial / Improperly posed problems fast Differential equations, Partial Improperly posed problems Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd rswk-swf Inkorrekt gestelltes Problem (DE-588)4186951-5 s Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Straughan, B. Sonstige oth http://www.sciencedirect.com/science/book/9780120567454 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ames, Karen A. Non-standard and improperly posed problems Équations aux dérivées partielles / Problèmes mal posés SCIENCE / Physics / Mathematical & Computational bisacsh Differential equations, Partial / Improperly posed problems fast Differential equations, Partial Improperly posed problems Partielle Differentialgleichung (DE-588)4044779-0 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4186951-5 |
| title | Non-standard and improperly posed problems |
| title_auth | Non-standard and improperly posed problems |
| title_exact_search | Non-standard and improperly posed problems |
| title_full | Non-standard and improperly posed problems Karen A. Ames and Brian Straughan |
| title_fullStr | Non-standard and improperly posed problems Karen A. Ames and Brian Straughan |
| title_full_unstemmed | Non-standard and improperly posed problems Karen A. Ames and Brian Straughan |
| title_short | Non-standard and improperly posed problems |
| title_sort | non standard and improperly posed problems |
| topic | Équations aux dérivées partielles / Problèmes mal posés SCIENCE / Physics / Mathematical & Computational bisacsh Differential equations, Partial / Improperly posed problems fast Differential equations, Partial Improperly posed problems Partielle Differentialgleichung (DE-588)4044779-0 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| topic_facet | Équations aux dérivées partielles / Problèmes mal posés SCIENCE / Physics / Mathematical & Computational Differential equations, Partial / Improperly posed problems Differential equations, Partial Improperly posed problems Partielle Differentialgleichung Inkorrekt gestelltes Problem |
| url | http://www.sciencedirect.com/science/book/9780120567454 |
| work_keys_str_mv | AT ameskarena nonstandardandimproperlyposedproblems AT straughanb nonstandardandimproperlyposedproblems |