Blow-up of Solutions and Local Solvability of an Abstract Cauchy Problem of Second Order with a Noncoercive Source

An abstract Cauchy problem for a second-order differential equation with nonlinear operator coefficients is considered. The local solvability of the problem in suitable spaces of abstract continuous and differentiable functions is proved. Sufficient conditions for finite-time blow-up of its solution...

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Veröffentlicht in:	Computational mathematics and mathematical physics Jg. 63; H. 4; S. 542 - 552
Hauptverfasser:	Artem’eva, M. V., Korpusov, M. O.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Moscow Pleiades Publishing 01.04.2023 Springer Nature B.V
Schlagworte:	Banach spaces Cauchy problems Computational Mathematics and Numerical Analysis Differential equations Inequality Mathematics Mathematics and Statistics Operators (mathematics) Partial Differential Equations local solvability estimates of blow-up time nonlinear capacity blow-up nonlinear Sobolev-type equations
ISSN:	0965-5425, 1555-6662
Online-Zugang:	Volltext
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