Blow-up in Nonlinear Sobolev Type Equations
(Sprache: Englisch)
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other...
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The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.
Klappentext zu „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 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.
Autoren-Porträt von Alexander B. Al'shin, Maxim O. Korpusov, Alexey G. Sveshnikov
Alexander B. Al'shin, Maxim O. Korpusov, Alexey G.Sveshnikov, Lomonosov Moscow State University, Russia.
Bibliographische Angaben
- Autoren: Alexander B. Al'shin , Maxim O. Korpusov , Alexey G. Sveshnikov
- 2011, XII, 648 Seiten, mit Abbildungen, Maße: 17,5 x 24,6 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 3110255278
- ISBN-13: 9783110255270
- Erscheinungsdatum: 06.07.2011
Sprache:
Englisch
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