On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type

DOI10.1070/IM8949zbMath1460.35053OpenAlexW3037534229MaRDI QIDQ5855938

A. A. Panin, M. O. Korpusov, Andrey E. Shishkov

Publication date: 23 March 2021

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8949

zbMATH Keywords

nonlinear wavesfinite-time blow-upinstantaneous blow-up

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for nonlinear higher-order PDEs (35G25) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44)

Related Items (5)

Semilinear Models of Sobolev Type. Non-Uniqueness of Solution to the Showalter-Sidorov Problem ⋮ Global-in-time solvability of a nonlinear system of equations of a thermal-electrical model with quadratic nonlinearity ⋮ Sobolev-Type Systems and Applied Problems ⋮ On the blow-up of the solution of a nonlinear system of equations of a thermal-electrical model ⋮ On the blow-up of the solution and on the local and global solvability of the Cauchy problem for a nonlinear equation in Hölder spaces

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