Asymptotic behaviour of solutions to some pseudoparabolic equations

DOI10.1016/j.aml.2011.07.012zbMath1233.35037OpenAlexW1979083099MaRDI QIDQ659820

Yan Liu, Weisheng Jiang, Falun Huang

Publication date: 24 January 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.07.012

zbMATH Keywords

Dirichlet boundary conditionsasymptotic behaviourpseudoparabolic equationSobolev-Galpern type equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (11)

Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level ⋮ Blow-up analysis of a nonlinear pseudo-parabolic equation with memory term ⋮ Blow‐up phenomena for a pseudo‐parabolic equation ⋮ The well-posedness analysis of distributed order fractional diffusion problems on \(\mathbb{R}^N\) ⋮ Bounds for blow-up time in a semilinear pseudo-parabolic equation with nonlocal source ⋮ Blow-up phenomena for a pseudo-parabolic equation with variable exponents ⋮ Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration ⋮ Blow up and exponential growth for a pseudo-parabolic equation with \(p ( x )\)-Laplacian and variable exponents ⋮ On time fractional pseudo‐parabolic equations with non‐local in time condition ⋮ BLOW-UP TIME AND BLOW-UP RATE FOR PSEUDO-PARABOLIC EQUATIONS WITH WEIGHTED SOURCE ⋮ Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations

Cites Work

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• Decay of solutions of some nonlinear wave equations
• Existence of solutions to Sobolev-type partial neutral differential equations
• Semigroups of linear operators and applications to partial differential equations
• Decay of solutions to nonlinear, dispersive wave equations
• Decay of solution of generalized Benjamin—Bona—Mahony—Burgers equations in n-space dimensions

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