Blow-up in nonlinear Sobolev type equations:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
de Gruyter
2011
|
| Schriftenreihe: | De Gruyter series in nonlinear analysis and applications
15 |
| Schlagworte: | |
| Online-Zugang: | FUBA1 Volltext |
| Beschreibung: | The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up time. The monograph contains a vast list of references (440 items) and gives an overall view of the contemporary state-of-the-art of the mathematical modeling of various important problems arising in physics. Since the list of references contains many papers which have been published previously only in Russian research journals, it may also serve as a guide to the Russian literature. Alexander B. Al'shin, Maxim O. Korpusov, Alexey G.Sveshnikov, Lomonosov Moscow State University, Russia |
| Beschreibung: | 1 Online-Ressource (XII, 648 S.) graph. Darst. |
| ISBN: | 9783110255294 |
Internformat
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| author | Alʹšin, Aleksandr B. Korpusov, Maksim Olegovič Svešnikov, Aleksej G. 1924- |
| author_GND | (DE-588)1017570418 (DE-588)1017570582 (DE-588)1012307123 |
| author_facet | Alʹšin, Aleksandr B. Korpusov, Maksim Olegovič Svešnikov, Aleksej G. 1924- |
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042348239 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:19:05Z |
| institution | BVB |
| isbn | 9783110255294 |
| language | English |
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| spelling | Alʹšin, Aleksandr B. Verfasser (DE-588)1017570418 aut Blow-up in nonlinear Sobolev type equations Alexander B. Al'shin ; Maxim O. Korpusov ; Alexey G. Sveshnikov Berlin [u.a.] de Gruyter 2011 1 Online-Ressource (XII, 648 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier De Gruyter series in nonlinear analysis and applications 15 The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect to spatial variables. The main aim of the monograph is to obtain sufficient conditions for global (in time) solvability, to obtain sufficient conditions for blow-up of solutions at finite time, and to derive upper and lower estimates for the blow-up time. The monograph contains a vast list of references (440 items) and gives an overall view of the contemporary state-of-the-art of the mathematical modeling of various important problems arising in physics. Since the list of references contains many papers which have been published previously only in Russian research journals, it may also serve as a guide to the Russian literature. Alexander B. Al'shin, Maxim O. Korpusov, Alexey G.Sveshnikov, Lomonosov Moscow State University, Russia Mathematische Physik Initial value problems Numerical solutions Mathematical physics Nonlinear difference equations Anfangsrandwertproblem (DE-588)4001990-1 gnd rswk-swf Blowing up (DE-588)4508027-6 gnd rswk-swf Pseudoparabolische Differentialgleichung (DE-588)4176155-8 gnd rswk-swf Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd rswk-swf Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Pseudoparabolische Differentialgleichung (DE-588)4176155-8 s Cauchy-Anfangswertproblem (DE-588)4147404-1 s Anfangsrandwertproblem (DE-588)4001990-1 s Lösung Mathematik (DE-588)4120678-2 s Blowing up (DE-588)4508027-6 s DE-604 Korpusov, Maksim Olegovič Verfasser (DE-588)1017570582 aut Svešnikov, Aleksej G. 1924- Verfasser (DE-588)1012307123 aut Erscheint auch als Druck-Ausgabe 978-3-11-025527-0 (DE-604)BV037473332 De Gruyter series in nonlinear analysis and applications 15 (DE-604)BV044970340 15 http://www.degruyter.com/doi/book/10.1515/9783110255294 Verlag Volltext |
| spellingShingle | Alʹšin, Aleksandr B. Korpusov, Maksim Olegovič Svešnikov, Aleksej G. 1924- Blow-up in nonlinear Sobolev type equations De Gruyter series in nonlinear analysis and applications Mathematische Physik Initial value problems Numerical solutions Mathematical physics Nonlinear difference equations Anfangsrandwertproblem (DE-588)4001990-1 gnd Blowing up (DE-588)4508027-6 gnd Pseudoparabolische Differentialgleichung (DE-588)4176155-8 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Lösung Mathematik (DE-588)4120678-2 gnd |
| subject_GND | (DE-588)4001990-1 (DE-588)4508027-6 (DE-588)4176155-8 (DE-588)4147404-1 (DE-588)4120678-2 |
| title | Blow-up in nonlinear Sobolev type equations |
| title_auth | Blow-up in nonlinear Sobolev type equations |
| title_exact_search | Blow-up in nonlinear Sobolev type equations |
| title_full | Blow-up in nonlinear Sobolev type equations Alexander B. Al'shin ; Maxim O. Korpusov ; Alexey G. Sveshnikov |
| title_fullStr | Blow-up in nonlinear Sobolev type equations Alexander B. Al'shin ; Maxim O. Korpusov ; Alexey G. Sveshnikov |
| title_full_unstemmed | Blow-up in nonlinear Sobolev type equations Alexander B. Al'shin ; Maxim O. Korpusov ; Alexey G. Sveshnikov |
| title_short | Blow-up in nonlinear Sobolev type equations |
| title_sort | blow up in nonlinear sobolev type equations |
| topic | Mathematische Physik Initial value problems Numerical solutions Mathematical physics Nonlinear difference equations Anfangsrandwertproblem (DE-588)4001990-1 gnd Blowing up (DE-588)4508027-6 gnd Pseudoparabolische Differentialgleichung (DE-588)4176155-8 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Lösung Mathematik (DE-588)4120678-2 gnd |
| topic_facet | Mathematische Physik Initial value problems Numerical solutions Mathematical physics Nonlinear difference equations Anfangsrandwertproblem Blowing up Pseudoparabolische Differentialgleichung Cauchy-Anfangswertproblem Lösung Mathematik |
| url | http://www.degruyter.com/doi/book/10.1515/9783110255294 |
| volume_link | (DE-604)BV044970340 |
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