Second Order Equations With Nonnegative Characteristic Form:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1973
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive development in recent years. An equation of the form (1) is termed an equation of second order with nonnegative characteristic form on a set G, kj if at each point x belonging to G we have a (xHk~j ~ 0 for any vector ~ = (~l' ... '~m)' In equation (1) it is assumed that repeated indices are summed from 1 to m, and x = (x l' ••• , x ). Such equations are sometimes also called degenerating m elliptic equations or elliptic-parabolic equations. This class of equations includes those of elliptic and parabolic types, first order equations, ultraparabolic equations, the equations of Brownian motion, and others. The foundation of a general theory of second order equations with nonnegative characteristic form has now been established, and the purpose of this book is to pre sent this foundation. Special classes of equations of the form (1), not coinciding with the well-studied equations of elliptic or parabolic type, were investigated long ago, particularly in the paper of Picone [105], published some 60 years ago |
| Beschreibung: | 1 Online-Ressource (VII, 259 p) |
| ISBN: | 9781468489651 9781468489675 |
| DOI: | 10.1007/978-1-4684-8965-1 |
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| 500 | |a Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive development in recent years. An equation of the form (1) is termed an equation of second order with nonnegative characteristic form on a set G, kj if at each point x belonging to G we have a (xHk~j ~ 0 for any vector ~ = (~l' ... '~m)' In equation (1) it is assumed that repeated indices are summed from 1 to m, and x = (x l' ••• , x ). Such equations are sometimes also called degenerating m elliptic equations or elliptic-parabolic equations. This class of equations includes those of elliptic and parabolic types, first order equations, ultraparabolic equations, the equations of Brownian motion, and others. The foundation of a general theory of second order equations with nonnegative characteristic form has now been established, and the purpose of this book is to pre sent this foundation. Special classes of equations of the form (1), not coinciding with the well-studied equations of elliptic or parabolic type, were investigated long ago, particularly in the paper of Picone [105], published some 60 years ago | ||
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Datensatz im Suchindex
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| author | Oleĭnik, O. A. |
| author_facet | Oleĭnik, O. A. |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-8965-1 |
| format | Electronic eBook |
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| id | DE-604.BV042421156 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468489651 9781468489675 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856573 |
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| publishDate | 1973 |
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| publisher | Springer US |
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| spelling | Oleĭnik, O. A. Verfasser aut Second Order Equations With Nonnegative Characteristic Form by O. A. Oleĭnik, E. V. Radkevič Boston, MA Springer US 1973 1 Online-Ressource (VII, 259 p) txt rdacontent c rdamedia cr rdacarrier Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive development in recent years. An equation of the form (1) is termed an equation of second order with nonnegative characteristic form on a set G, kj if at each point x belonging to G we have a (xHk~j ~ 0 for any vector ~ = (~l' ... '~m)' In equation (1) it is assumed that repeated indices are summed from 1 to m, and x = (x l' ••• , x ). Such equations are sometimes also called degenerating m elliptic equations or elliptic-parabolic equations. This class of equations includes those of elliptic and parabolic types, first order equations, ultraparabolic equations, the equations of Brownian motion, and others. The foundation of a general theory of second order equations with nonnegative characteristic form has now been established, and the purpose of this book is to pre sent this foundation. Special classes of equations of the form (1), not coinciding with the well-studied equations of elliptic or parabolic type, were investigated long ago, particularly in the paper of Picone [105], published some 60 years ago Mathematics Global analysis (Mathematics) Analysis Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Radkevič, E. V. Sonstige oth https://doi.org/10.1007/978-1-4684-8965-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Oleĭnik, O. A. Second Order Equations With Nonnegative Characteristic Form Mathematics Global analysis (Mathematics) Analysis Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Second Order Equations With Nonnegative Characteristic Form |
| title_auth | Second Order Equations With Nonnegative Characteristic Form |
| title_exact_search | Second Order Equations With Nonnegative Characteristic Form |
| title_full | Second Order Equations With Nonnegative Characteristic Form by O. A. Oleĭnik, E. V. Radkevič |
| title_fullStr | Second Order Equations With Nonnegative Characteristic Form by O. A. Oleĭnik, E. V. Radkevič |
| title_full_unstemmed | Second Order Equations With Nonnegative Characteristic Form by O. A. Oleĭnik, E. V. Radkevič |
| title_short | Second Order Equations With Nonnegative Characteristic Form |
| title_sort | second order equations with nonnegative characteristic form |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4684-8965-1 |
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