Differential Equations.
Vol. 59.
2023.
P. 243-259
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 solutions are obtained.
Authors
Artem’eva M.V.
1,
2
,
Korpusov M.O.
1,
2
Number of issue
4
Language
English
Pages
542-552
Status
Published
Volume
63
Year
2023
Organizations
- 1 Faculty of Physics, Lomonosov Moscow State University
- 2 RUDN University
Keywords
nonlinear Sobolev-type equations; blow-up; local solvability; nonlinear capacity; estimates of blow-up time; Computational Mathematics and Numerical Analysis
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