| Description |
1 online resource (xii, 648 pages) |
| Series |
De Gruyter series in nonlinear analysis and applications ; 15 |
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De Gruyter series in nonlinear analysis and applications ; 15.
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| Contents |
Frontmatter -- Preface -- Contents -- Chapter 0 Introduction -- Chapter 1 Nonlinear model equations of Sobolev type -- Chapter 2 Blow-up of solutions of nonlinear equations of Sobolev type -- Chapter 3 Blow-up of solutions of strongly nonlinear Sobolev-type wave equations and equations with linear dissipation -- Chapter 4 Blow-up of solutions of strongly nonlinear, dissipative wave Sobolev-type equations with sources -- Chapter 5 Special problems for nonlinear equations of Sobolev type -- Chapter 6 Numerical methods of solution of initial-boundary-value problems for Sobolev-type equations -- Appendix A Some facts of functional analysis -- Appendix B To Chapter 6 -- Bibliography -- Index |
| Summary |
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 |
| Bibliography |
Includes bibliographical references (pages 621-646) and index |
| Notes |
English |
|
Print version record |
| Subject |
Initial value problems -- Numerical solutions.
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Nonlinear difference equations.
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Mathematical physics.
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MATHEMATICS -- Functional Analysis.
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Initial value problems -- Numerical solutions
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Mathematical physics
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Nonlinear difference equations
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Pseudoparabolische Differentialgleichung
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Cauchy-Anfangswertproblem
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Lösung Mathematik
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Anfangsrandwertproblem
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Blowing up
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| Form |
Electronic book
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| Author |
Korpusov, M. O
|
|
Sveshnikov, A. G. (Alekseĭ Georgievich), 1924-
|
| LC no. |
2011003941 |
| ISBN |
9783110255294 |
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3110255294 |
|
1283166828 |
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9781283166829 |
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9786613166821 |
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6613166820 |
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