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Blow up in nonlinear Sobolev type equations /
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 wi...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
De Gruyter,
©2011.
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| Colección: | De Gruyter series in nonlinear analysis and applications ;
15. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (xii, 648 pages) |
| Bibliografía: | Includes bibliographical references (pages 621-646) and index. |
| ISBN: | 9783110255294 3110255294 1283166828 9781283166829 9786613166821 6613166820 |