Weighted energy method for semilinear wave equations with time-dependent damping (Q6078049)

scientific article; zbMATH DE number 7742596

Language	Label	Description	Also known as
English	Weighted energy method for semilinear wave equations with time-dependent damping	scientific article; zbMATH DE number 7742596

Statements

instance of

scholarly article

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title

Weighted energy method for semilinear wave equations with time-dependent damping (English)

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author

Motohiro Sobajima

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published in

Journal of Evolution Equations

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publication date

27 September 2023

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zbMATH Keywords

damped wave equations

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time-dependent damping

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weighted energy methods

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00028-023-00908-9

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cites work

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Small data solutions for semilinear wave equations with effective damping

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Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity

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Q4872319

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A blow-up result for a nonlinear damped wave equation in exterior domain: the critical case

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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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Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping

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The sharp estimate of the lifespan for semilinear wave equation with time-dependent damping.

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\(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

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Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain

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Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping

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Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case

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Global existence of solutions for semilinear damped wave equation in 2-D exterior domain

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Two dimensional exterior mixed problem for semilinear damped wave equations

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Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\)

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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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\(L^{2}\)-estimates of solutions for damped wave equations with space-time dependent damping term

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Critical exponent for the semilinear wave equation with time-dependent damping

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

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Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations

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Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping

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Asymptotic behaviors of solutions for time dependent damped wave equations

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

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Decay estimates for dissipative wave equations in exterior domains

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Global existence of solutions to semilinear damped wave equation with slowly decaying initial data in exterior domain.

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Higher-order asymptotic expansion for abstract linear second-order differential equations with time-dependent coefficients

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Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data

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Remark on One Dimensional Semilinear Damped Wave Equation in a Critical Weighted L 2-space

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Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations

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Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain

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Critical exponent for a nonlinear wave equation with damping

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Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients

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Second order asymptotic expansion for wave equations with time-dependent dissipation in one-space dimension

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Q3598058

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Asymptotic behavior for abstract wave equations with decaying dissipation

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Diffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation

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On the diffusion phenomenon of quasilinear hyperbolic waves

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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

1523.35058

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DOI

10.1007/s00028-023-00908-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6078049