Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data (Q472300)

scientific article; zbMATH DE number 6370918

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English	Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data	scientific article; zbMATH DE number 6370918

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instance of

scholarly article

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title

Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data (English)

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author

H. Takeda

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published in

Journal of Mathematical Analysis and Applications

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publication date

19 November 2014

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zbMATH Keywords

fourth order wave equation with damping

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asymptotic profile

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jmaa.2014.10.032

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cites work

Q4434430

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Scaling variables and asymptotic expansions in damped wave equations

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Damped wave equation with super critical nonlinearities.

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\(C^m\)-theory of damped wave equations with stabilisation

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Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations

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Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities

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Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data

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Refined asymptotic profiles for a semilinear heat equation

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Q3732141

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Asymptotic profiles to the solutions for a nonlinear damped wave equation.

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On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term

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Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)

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The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media

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On the asymptotic behavior of solutions of semi-linear wave equations

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\(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem

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Asymptotic behavior of solutions for the damped wave equation with slowly decaying data

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\(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application

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Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption

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Non-existence of weak solutions to nonlinear damped wave equations in exterior domains

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Global attractors for nonlinear beam equations

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Higher order energy decay rates for damped wave equations with variable coefficients

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On the initial value problem of the semilinear beam equation with weak damping. II: Asymptotic profiles

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On the initial value problem of the semilinear beam equation with weak damping. I: Smoothing effect

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Critical exponent for a nonlinear wave equation with damping

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Existence and non-existence of global solutions for a semilinear heat equation

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A blow-up result for a nonlinear wave equation with damping: the critical case

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Identifiers

zbMATH Open document ID

1307.35052

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Mathematics Subject Classification ID

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10.1016/J.JMAA.2014.10.032

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Sitelinks

Mathematics(1 entry)

mardi Publication:472300