Blow-up of solutions and local solvability of an abstract Cauchy problem of second order with a noncoercive source

DOI10.1134/S0965542523040024zbMath1520.34060OpenAlexW4378676608MaRDI QIDQ6159048

M. O. Korpusov, M. V. Artemeva

Publication date: 1 June 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523040024

zbMATH Keywords

nonlinear capacityblow-uplocal solvabilitynonlinear Sobolev-type equationsestimates of blow-up time

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (1)

On the blow-up of the solution of a problem for the Sobolev equation with a noncoercive source

Cites Work

• Unnamed Item
• Blow-up of solutions of nonclassical nonlocal nonlinear model equations
• Blow-up in Nonlinear Sobolev Type Equations
• Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source

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