Blow up in nonlinear Sobolev type equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin
De Gruyter
©2011
|
| Series: | De Gruyter series in nonlinear analysis and applications
15 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (pages 621-646) and index 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 |
| Physical Description: | 1 Online-Ressource (xii, 648 pages) |
| ISBN: | 1283166828 3110255278 3110255294 9781283166829 9783110255270 9783110255294 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:19Z |
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| isbn | 1283166828 3110255278 3110255294 9781283166829 9783110255270 9783110255294 |
| language | English |
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| physical | 1 Online-Ressource (xii, 648 pages) |
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| publishDate | 2011 |
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| publisher | De Gruyter |
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| spelling | Alʹshin, A. B. Verfasser aut Blow up in nonlinear Sobolev type equations Alexander .B. Alʹshin, Maxim O. Korpusov, Alexy G. Sveshnikov Berlin De Gruyter ©2011 1 Online-Ressource (xii, 648 pages) txt rdacontent c rdamedia cr rdacarrier De Gruyter series in nonlinear analysis and applications 15 Includes bibliographical references (pages 621-646) and index 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 MATHEMATICS / Functional Analysis bisacsh Initial value problems / Numerical solutions fast Mathematical physics fast Nonlinear difference equations fast Mathematische Physik Initial value problems Numerical solutions Nonlinear difference equations Mathematical physics Pseudoparabolische Differentialgleichung (DE-588)4176155-8 gnd rswk-swf Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Blowing up (DE-588)4508027-6 gnd rswk-swf Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd rswk-swf Anfangsrandwertproblem (DE-588)4001990-1 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 1\p DE-604 Korpusov, M. O. Sonstige oth Sveshnikov, A. G. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=388294 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alʹshin, A. B. Blow up in nonlinear Sobolev type equations MATHEMATICS / Functional Analysis bisacsh Initial value problems / Numerical solutions fast Mathematical physics fast Nonlinear difference equations fast Mathematische Physik Initial value problems Numerical solutions Nonlinear difference equations Mathematical physics Pseudoparabolische Differentialgleichung (DE-588)4176155-8 gnd Lösung Mathematik (DE-588)4120678-2 gnd Blowing up (DE-588)4508027-6 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd |
| subject_GND | (DE-588)4176155-8 (DE-588)4120678-2 (DE-588)4508027-6 (DE-588)4147404-1 (DE-588)4001990-1 |
| 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. Alʹshin, Maxim O. Korpusov, Alexy G. Sveshnikov |
| title_fullStr | Blow up in nonlinear Sobolev type equations Alexander .B. Alʹshin, Maxim O. Korpusov, Alexy G. Sveshnikov |
| title_full_unstemmed | Blow up in nonlinear Sobolev type equations Alexander .B. Alʹshin, Maxim O. Korpusov, Alexy G. Sveshnikov |
| title_short | Blow up in nonlinear Sobolev type equations |
| title_sort | blow up in nonlinear sobolev type equations |
| topic | MATHEMATICS / Functional Analysis bisacsh Initial value problems / Numerical solutions fast Mathematical physics fast Nonlinear difference equations fast Mathematische Physik Initial value problems Numerical solutions Nonlinear difference equations Mathematical physics Pseudoparabolische Differentialgleichung (DE-588)4176155-8 gnd Lösung Mathematik (DE-588)4120678-2 gnd Blowing up (DE-588)4508027-6 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd |
| topic_facet | MATHEMATICS / Functional Analysis Initial value problems / Numerical solutions Mathematical physics Nonlinear difference equations Mathematische Physik Initial value problems Numerical solutions Pseudoparabolische Differentialgleichung Lösung Mathematik Blowing up Cauchy-Anfangswertproblem Anfangsrandwertproblem |
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