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 condition…
Read More ↓Title Statements
- Full title :Blow up in nonlinear Sobolev type equations / Alexander .B. Alʹshin, Maxim O. Korpusov, Alexy G. Sveshnikov.
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.
Read More ↓Edition Statements
- Publication Date:©2011.
Publication Statements
- Publisher(s):De Gruyter
- Place of Publication:Berlin
- Language:eng
- Publication Date:©2011.
The Physical Object
- Description:1 online resource (xii, 648 pages)
Edition Identifiers
- ISBN:9783110255294, 3110255294, 1283166828, 9781283166829, 9786613166821, 6613166820
- oclc:ocn749781836
- LC Classification:QA378
- Dewey Decimal:515/.782
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