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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Bibliographic Details

Published in:	Computational mathematics and mathematical physics Vol. 63; no. 4; pp. 542 - 552
Main Authors:	Artem’eva, M. V., Korpusov, M. O.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.04.2023 Springer Nature B.V
Subjects:	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 Access:	Get full text
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