Existence and blow-up of solutions of a pseudoparabolic equation

DOI10.1134/S0012266111020169zbMath1259.35126OpenAlexW2079097783WikidataQ115252426 ScholiaQ115252426MaRDI QIDQ641976

E. V. Yushkov

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266111020169

zbMATH Keywords

local solutionequations of Sobolev type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Higher-order parabolic equations (35K25) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (6)

Blow‐up phenomena for a pseudo‐parabolic equation ⋮ Bounds for blow-up time in a semilinear pseudo-parabolic equation with nonlocal source ⋮ General decay and blow-up results of a Robin-Dirichlet problem for a pseudoparabolic nonlinear equation of Kirchhoff-Carrier type with viscoelastic term ⋮ On the blow-up of solutions of equations of hydrodynamic type under special boundary conditions ⋮ On a system of nonlinear pseudoparabolic equations with Robin-Dirichlet boundary conditions ⋮ Blow-up phenomena for some nonlinear pseudo-parabolic equations

Cites Work

• Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion

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