On an instantaneous blow-up of solutions of evolutionary problems on the half-line

DOI10.1070/IM8684zbMath1406.35066MaRDI QIDQ4645137

M. O. Korpusov

Publication date: 10 January 2019

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

zbMATH Keywords

nonlinear capacitybounds for the blow-up timenonlinear equations of Sobolev type

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (1)

On blow-up conditions for solutions of differential inequalities with \(\varphi\)-Laplacian

Cites Work

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• On instant blow-up for semilinear heat equations with growing initial data
• On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation
• On the instantaneous blow-up of solutions of some quasilinear evolution problems
• On the absence of local solutions of several evolutionary problems
• The problem of blow-up in nonlinear parabolic equations
• Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type
• Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier

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